The table shows sales in thousands of units of iPods(R), Powerbooks(R) and iMac(R) in the fourth quarter of 2003. \[\begin{array} { | l | l | l | l | } \hline & \text { iPods(R) } & \text { Powerbooks(R) } & \text { iMac(R) } \\ \hline \text { Units } ( \mathbf { 1 } , \mathbf { 0 0 0 } ) & 1,050 & 220 & 270 \\ \hline \end{array}\] Compute the probability that the item sold in 2003 Q4 was either the iPod(R) or the iMac(R).

A) 0.82 B) 0.86 C) 0.18 D) 0.32 E) 0.14 A) 0.82 B) 0.86 C) 0.18 D) 0.32 E) 0.14

Student admissions are based on the following table, which shows the profile, by Math SAT I scores, of admitted students at some university for the Fall 2004 semester. Determine the theoretical probability of the event: "An applicant had a Math SAT below 400." (Round your answer to the nearest 0.01). \[\begin{array} { | l | l | l | l | l | l | l | } \hline & \mathbf { 2 0 0 } - \mathbf { 3 9 9 } & \mathbf { 4 0 0 } - \mathbf { 4 9 9 } & \mathbf { 5 0 0 } - \mathbf { 5 9 9 } & \mathbf { 6 0 0 } - \mathbf { 6 9 9 } & \mathbf { 7 0 0 } - \mathbf { 8 0 0 } & \text { Total } \\ \hline \text { Admitted } & 8 & 212 & 1,124 & 2,882 & 5,270 & 9,496 \\ \hline \begin{array} { l } \text { Not } \\ \text { Admitted } \end{array} & 752 & 3,510 & 9,582 & 12,230 & 5,150 & 31,224 \\ \hline \begin{array} { l } \text { Total } \\ \text { Applicants } \end{array} & 760 & 3,722 & 10,706 & 15,112 & 10,420 & 40,720 \\ \hline \end{array}\]

A) 0.04 B) 0 C) 0.01 D) 0.02 E) 0.07 A) 0.04 B) 0 C) 0.01 D) 0.02 E) 0.07

Student admissions are based on the following table, which shows the profile, by Math SAT I scores, of admitted students at some university for the Fall 2004 semester. Determine the theoretical probability of the event: "An applicant who had a Math SAT of 700 or above was admitted." (Round your answer to the nearest 0.01). \[\begin{array} { | l | l | l | l | l | l | l | } \hline & \mathbf { 2 0 0 } - \mathbf { 3 9 9 } & \mathbf { 4 0 0 } - \mathbf { 4 9 9 } & \mathbf { 5 0 0 } - \mathbf { 5 9 9 } & \mathbf { 6 0 0 } - \mathbf { 6 9 9 } & \mathbf { 7 0 0 } - \mathbf { 8 0 0 } & \text { Total } \\ \hline \text { Admitted } & 6 & 212 & 1,150 & 2,882 & 5,376 & 9,626 \\ \hline \begin{array} { l } \text { Not } \\ \text { Admitted } \end{array} & 795 & 3,508 & 8,917 & 12,230 & 5,150 & 30,600 \\ \hline \begin{array} { l } \text { Total } \\ \text { Applicants } \end{array} & 801 & 3,720 & 10,067 & 15,112 & 10,526 & 40,226 \\ \hline \end{array}\]

A) 0.50 B) 0.49 C) 0.47 D) 0.53 E) 0.51 A) 0.50 B) 0.49 C) 0.47 D) 0.53 E) 0.51

A University of Kansas study shows the following one-generation transition probabilities among four major income groups. In the long term, what percentage of male earners would you expect to find in each category \[\begin{array} { | l | l | l | l | l | } \hline { \begin{array} { l } \text { Father's } \\ \text { Income } \end{array} } & { \text { Son's income } } \\ & \begin{array} { l } \text { Bottom } \\ \mathbf { 1 0 \% } \end{array} & \mathbf { 1 0 - 5 0 \% } & \mathbf { 5 0 - 9 0 \% } & \begin{array} { l } \text { Top } \\ \mathbf { 1 0 \% } \end{array} \\ \hline \begin{array} { l } \text { Bottom } \\ \mathbf { 1 0 \% } \end{array} & 0.6 & 0.32 & 0.07 & 0.01 \\ \hline \mathbf { 1 0 - 5 0 \% } & 0.1 & 0.48 & 0.38 & 0.04 \\ \hline \mathbf { 5 0 - 9 0 \% } & 0.04 & 0.38 & 0.48 & 0.1 \\ \hline \begin{array} { l } \text { Top } \\ \mathbf { 1 0 \% } \end{array} & 0.01 & 0.07 & 0.32 & 0.6 \\ \hline \end{array}\]

A) Bottom 10%: 35.79% 10-50%: 14.21% 50-90%: 14.21% Top 10%: 35.79% B) Bottom 10%: 13.21% 10-50%: 36.79% 50-90%: 36.79% Top 10%: 13.21% C) Bottom 10%: 36.79% 10-50%: 13.21% 50-90%: 13.21% Top 10%: 36.79% D) Bottom 10%: 14.21% 10-50%: 35.79% 50-90%: 35.79% Top 10%: 14.21% E) Bottom 10%: 10% 10-50%: 40% 50-90%: 40% Top 10%: 10% A) Bottom 10%: 35.79% 10-50%: 14.21% 50-90%: 14.21% Top 10%: 35.79% B) Bottom 10%: 13.21% 10-50%: 36.79% 50-90%: 36.79% Top 10%: 13.21% C) Bottom 10%: 36.79% 10-50%: 13.21% 50-90%: 13.21% Top 10%: 36.79% D) Bottom 10%: 14.21% 10-50%: 35.79% 50-90%: 35.79% Top 10%: 14.21% E) Bottom 10%: 10% 10-50%: 40% 50-90%: 40% Top 10%: 10%

The following table shows the results of a survey of 410 authors by a (fictitious) publishing company: \[\begin{array} { | l | l | l | l | } \hline & \begin{array} { l } \text { New } \\ \text { Authors } \end{array} & \begin{array} { l } \text { Established } \\ \text { Authors } \end{array} & \text { Total } \\ \hline \text { Successful } & 70 & 30 & 100 \\ \hline \text { Unsuccessful } & 130 & 180 & 310 \\ \hline \text { Total } & 200 & 210 & 410 \\ \hline \end{array}\] An author is chosen at random. Compute the estimated probability of the event that the author is a new author.

A) $\frac { 21 } { 41 }$ B) $\frac { 13 } { 41 }$ C) $\frac { 13 } { 20 }$ D) $\frac { 20 } { 41 }$ E) $\frac { 7 } { 20 }$ A) $\frac { 21 } { 41 }$ B) $\frac { 13 } { 41 }$ C) $\frac { 13 } { 20 }$ D) $\frac { 20 } { 41 }$ E) $\frac { 7 } { 20 }$

Student admissions are based on the following table, which shows the profile, by Math SAT I scores, of admitted students at some university for the Fall 2004 semester. Determine the theoretical probability of the event: "An applicant who had a Math SAT below 400 was admitted." (Round your answer to the nearest 0.01). \[\begin{array} { | l | l | l | l | l | l | l | } \hline & \mathbf { 2 0 0 } - \mathbf { 3 9 9 } & \mathbf { 4 0 0 } - \mathbf { 4 9 9 } & \mathbf { 5 0 0 } - \mathbf { 5 9 9 } & \mathbf { 6 0 0 } - \mathbf { 6 9 9 } & \mathbf { 7 0 0 } - \mathbf { 8 0 0 } & \text { Total } \\ \hline \text { Admitted } & 7 & 212 & 1,135 & 2,882 & 5,322 & 9,558 \\ \hline \begin{array} { l } \text { Not } \\ \text { Admitted } \end{array} & 779 & 3,502 & 8,700 & 12,230 & 5,150 & 30,361 \\ \hline \begin{array} { l } \text { Total } \\ \text { Applicants } \end{array} & 786 & 3,714 & 9,835 & 15,112 & 10,472 & 39,919 \\ \hline \end{array}\]

A) 0.02 B) 0.96 C) 0.86 D) 0.01 E) 0.04 A) 0.02 B) 0.96 C) 0.86 D) 0.01 E) 0.04

Student admissions are based on the following table, which shows the profile, by Math SAT I scores, of admitted students at some university for the Fall 2004 semester. Determine the theoretical probability of the event: "An applicant had a Math SAT below 400." (Round your answer to the nearest 0.01). \[\begin{array} { | l | l | l | l | l | l | l | } \hline & \mathbf { 2 0 0 } - \mathbf { 3 9 9 } & \mathbf { 4 0 0 } - \mathbf { 4 9 9 } & \mathbf { 5 0 0 } - \mathbf { 5 9 9 } & \mathbf { 6 0 0 } - \mathbf { 6 9 9 } & \mathbf { 7 0 0 } - \mathbf { 8 0 0 } & \text { Total } \\ \hline \text { Admitted } & 10 & 212 & 1,124 & 2,882 & 5,296 & 9,524 \\ \hline \begin{array} { l } \text { Not } \\ \text { Admitted } \end{array} & 722 & 3,513 & 8,878 & 12,230 & 5,150 & 30,493 \\ \hline \begin{array} { l } \text { Total } \\ \text { Applicants } \end{array} & 732 & 3,725 & 10,002 & 15,112 & 10,446 & 40,017 \\ \hline \end{array}\] Enter your answer in decimal form, not as a fraction. The probability is __________.

The answer of Student admissions are based on the following...

Exam 8: Probability

According to a study The New England Journal of Medicine, 202 of a sample of 5,940 middle-aged men had developed heart disease. It also found that men who were very active (burning about 3,500 calories daily) were half as likely to develop heart disease compared with men who were sedentary. Assume that one in nine middle-aged man is very active, and the rest are classified as sedentary. What is the probability that a middle-aged man with heart disease is very active Please, round your answer to three decimal places. The probability is __________.

(Short Answer)

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Question 241

The table shows sales in thousands of units of iPods^(R), Powerbooks^(R) and iMac^(R) in the fourth quarter of 2003. iPods(R) Powerbooks(R) iMac(R) Units (,) 1,050 220 270 Compute the probability that the item sold in 2003 Q4 was either the iPod^(R) or the iMac^(R).

(Multiple Choice)

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Question 242

Find the conditional probability of the event "The red one is 1, given that the sum is 7" when two fair dice (one red and one green) are rolled.

(Essay)

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Question 243

Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round the answer to four decimal places. $Y _ { 1 }$ , $Y _ { 2 }$ , $Y _ { 3 }$ form a partition of S. $P \left( X \mid Y _ { 1 } \right) = 0.2$ , $P \left( X \mid Y _ { 2 } \right) = 0.4$ , $P \left( X \mid Y _ { 3 } \right) = 0.5$ , $P \left( Y _ { 1 } \right) = 0.2$ , $P \left( Y _ { 2 } \right) = 0.5$ . Find $P \left( Y _ { 2 } \mid X \right)$ . $P \left( Y _ { 2 } \mid X \right) =$ __________

(Short Answer)

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Question 244

Student admissions are based on the following table, which shows the profile, by Math SAT I scores, of admitted students at some university for the Fall 2004 semester. Determine the theoretical probability of the event: "An applicant had a Math SAT below 400." (Round your answer to the nearest 0.01). - - - - - Total Admitted 8 212 1,124 2,882 5,270 9,496 Not Admitted 752 3,510 9,582 12,230 5,150 31,224 Total Applicants 760 3,722 10,706 15,112 10,420 40,720

(Multiple Choice)

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Question 245

According to a study in The New England Journal of Medicine, 85 of a sample of 5,990 middle-aged men had developed heart disease. It also found that men who were very active (burning about 3,500 calories daily) were half as likely to develop heart disease compared with men who were sedentary. Assume that one in nine middle-aged men are very active, and the rest are classified as sedentary. What is the probability that a middle-aged man with heart disease is very active Please, round your answer to three decimal places.

(Multiple Choice)

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Question 246

Student admissions are based on the following table, which shows the profile, by Math SAT I scores, of admitted students at some university for the Fall 2004 semester. Determine the theoretical probability of the event: "An applicant who had a Math SAT of 700 or above was admitted." (Round your answer to the nearest 0.01). - - - - - Total Admitted 6 212 1,150 2,882 5,376 9,626 Not Admitted 795 3,508 8,917 12,230 5,150 30,600 Total Applicants 801 3,720 10,067 15,112 10,526 40,226

(Multiple Choice)

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Question 247

A University of Kansas study shows the following one-generation transition probabilities among four major income groups. In the long term, what percentage of male earners would you expect to find in each category Father's Income Son's income Bottom Top Bottom 0.6 0.32 0.07 0.01 0.1 0.48 0.38 0.04 0.04 0.38 0.48 0.1 Top 0.01 0.07 0.32 0.6

(Multiple Choice)

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Question 248

A pair of dice is cast, and the number that appears uppermost on each die is observed. Find the probability of the event that the sum of the numbers is 4.

(Multiple Choice)

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Question 249

The T $\Phi$ $\Phi$ Sorority has a tough pledging program - it requires its pledges to master the Greek alphabet forward, backward, and "sideways". During the last pledge period, one - third(s) of the pledges failed to learn it backward and three quarters of them failed to learn it sideways; 1 of the 12 pledges failed to master it either backward or sideways. Because admission into the sisterhood requires both backward and sideways mastery, what fraction of the pledges were disqualified on this basis ?

(Multiple Choice)

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Question 250

You are choosing a region of the country to move to. Let E be the event that the region you choose saw an increase in housing prices of 15% or less, but greater than 10%, and let F be the event that the region you choose is on the east coast. $You are choosing a region of the country to move to. Let E be the event that the region you choose saw an increase in housing prices of 15% or less, but greater than 10%, and let F be the event that the region you choose is on the east coast. List the outcomes of the event E \cup F as the set of the names of the regions. If the answer is empty set, enter empty. E \cup F = List the outcomes of the event E \cap F as the set of the names of the regions. If the answer is empty set, enter empty. E \cap F = $ List the outcomes of the event $E \cup F$ as the set of the names of the regions. If the answer is empty set, enter empty. $E \cup F =$ List the outcomes of the event $E \cap F$ as the set of the names of the regions. If the answer is empty set, enter empty. $E \cap F =$

(Essay)

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Question 251

The following table shows the results of a survey of 410 authors by a (fictitious) publishing company: New Authors Established Authors Total Successful 70 30 100 Unsuccessful 130 180 310 Total 200 210 410 An author is chosen at random. Compute the estimated probability of the event that the author is a new author.

(Multiple Choice)

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Question 252

The graph consists of a collection of nodes (the dots in the figure) connected by edges (line segments from one node to another). A move on a graph is a move from one node to another along the single edge. Find the probability of moving from Start to Finish in a sequence of two random moves in the graph. (All directions are equally likely.)

(Essay)

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Question 253

A dime, nickel, and penny are tossed. If we are interested in the number of heads that appear on a single toss, what is the sample space The sample space is { __________ }.

(Essay)

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Question 254

Student admissions are based on the following table, which shows the profile, by Math SAT I scores, of admitted students at some university for the Fall 2004 semester. Determine the theoretical probability of the event: "An applicant who had a Math SAT below 400 was admitted." (Round your answer to the nearest 0.01). - - - - - Total Admitted 7 212 1,135 2,882 5,322 9,558 Not Admitted 779 3,502 8,700 12,230 5,150 30,361 Total Applicants 786 3,714 9,835 15,112 10,472 39,919

(Multiple Choice)

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Question 255

A market survey shows that one third of the owners of Sorey State Boogie Boards became disenchanted with the product and switched to C&T Super Professional Boards the next surf season, while the other remained loyal to Sorey State. On the other hand, four fifths of the C&T Boogie Board users remained loyal to C&T, while the rest switched to Sorey State. Set these data up as a Markov transition matrix, and calculate the probability that a Sorey State Board user will be using the same brand two seasons later. Take 1 = Sorey State, 2 = C&T.

(Multiple Choice)

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Question 256

Student admissions are based on the following table, which shows the profile, by Math SAT I scores, of admitted students at some university for the Fall 2004 semester. Determine the theoretical probability of the event: "An applicant had a Math SAT below 400." (Round your answer to the nearest 0.01). - - - - - Total Admitted 10 212 1,124 2,882 5,296 9,524 Not Admitted 722 3,513 8,878 12,230 5,150 30,493 Total Applicants 732 3,725 10,002 15,112 10,446 40,017 Enter your answer in decimal form, not as a fraction. The probability is __________.

(Short Answer)

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Question 257

The table shows sales in thousands of units of iPods^(R), Powerbooks^(R) and iMac^(R) in the fourth quarter of 2003. iPods(R) Powerbooks(R) iMac(R) Units (,) 1,050 220 270 Compute the probability that the item sold in 2003 Q4 was either the iPod^(R) or the iMac^(R).

Find the conditional probability of the event "The red one is 1, given that the sum is 7" when two fair dice (one red and one green) are rolled.

A pair of dice is cast, and the number that appears uppermost on each die is observed. Find the probability of the event that the sum of the numbers is 4.

A dime, nickel, and penny are tossed. If we are interested in the number of heads that appear on a single toss, what is the sample space The sample space is { __________ }.

Functions and Applications

Nonlinear Functions and Models

The Mathematics of Finance

Systems of Linear Equations and Matrices

Matrix Algebra and Applications

Linear Programming

Sets and Counting

Random Variables and Statistics

Introduction to the Derivative

Techniques of Differentiation

Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

Exam 8: Probability

The table shows sales in thousands of units of iPods(R), Powerbooks(R) and iMac(R) in the fourth quarter of 2003. iPods(R) Powerbooks(R) iMac(R) Units (,) 1,050 220 270 Compute the probability that the item sold in 2003 Q4 was either the iPod(R) or the iMac(R).

Find the conditional probability of the event "The red one is 1, given that the sum is 7" when two fair dice (one red and one green) are rolled.

A pair of dice is cast, and the number that appears uppermost on each die is observed. Find the probability of the event that the sum of the numbers is 4.

A dime, nickel, and penny are tossed. If we are interested in the number of heads that appear on a single toss, what is the sample space The sample space is { __________ }.

Functions and Applications

Nonlinear Functions and Models

The Mathematics of Finance

Systems of Linear Equations and Matrices

Matrix Algebra and Applications

Linear Programming

Sets and Counting

Random Variables and Statistics

Introduction to the Derivative

Techniques of Differentiation

Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

The table shows sales in thousands of units of iPods^(R), Powerbooks^(R) and iMac^(R) in the fourth quarter of 2003. iPods(R) Powerbooks(R) iMac(R) Units (,) 1,050 220 270 Compute the probability that the item sold in 2003 Q4 was either the iPod^(R) or the iMac^(R).