Question 1

Provide a written description of the complement of the given event.
-When 100 engines are shipped, all of them are free of defects.

Accepted Answer

A) At least one of the engines is defective. 
B) None of the engines are defective. 
C) All of the engines are defective. 
A) At least one of the engines is defective. 
B) None of the engines are defective. 
C) All of the engines are defective.

Question 2

The table below shows the soft drinks preferences of people in three age groups. $\begin{array}{r|ccc} 
& \text { cola } & \text { root beer } & \text { lemon-lime } \
\hline \text { under 21 years of age } & 40 & 25 & 20 \
\text { between 21 and 40 } & 35 & 20 & 30 \
\text { over 40 years of age } & 20 & 30 & 35
\end{array}$
If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age.

Accepted Answer

A)  $\frac { 3 } { 5 }$ 
B)  $\frac { 2 } { 5 }$ 
C)  $\frac { 1 } { 3 }$ 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 3 } { 5 }$ 
B)  $\frac { 2 } { 5 }$ 
C)  $\frac { 1 } { 3 }$ 
D)  $\frac { 1 } { 2 }$

Question 3

Provide an appropriate response.
-Interpret the symbol P(B|A)and explain what is meant by the expression. What do we know if P(B|A)is not the same as P(B)?

Accepted Answer

This is the symbol for conditi

Question 4

Estimate the probability of the event
-In a certain class of students, there are 9 boys from Wilmette, 5 girls from Kenilworth, 7 girls from Wilmette, 6 boys from Glencoe, 5 boys from Kenilworth and 3 girls from Glenoce. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth?

Accepted Answer

A) 0.25 
B) 0.37 
C) 0.286 
D) 0.143 
A) 0.25 
B) 0.37 
C) 0.286 
D) 0.143

Question 5

Provide an appropriate response.
-Consider the following formulas: ${ } _ { n } P _ { r } = \frac { n ! } { ( n - r ) ! }$ and ${ } _ { n } C _ { r } = \frac { n ! } { ( n - r ) ! r ! }$
Given the same values for $\mathrm { n }$ and $\mathrm { r }$ in each formula, which is the smaller value, $\mathrm { P }$ or $\mathrm { C }$ ? How does this relate to th concept of counting the number of outcomes based on whether or not order is a criterion?

Accepted Answer

The combination value will be

Question 6

Find the indicated probability
-A IRS auditor randomly selects 3 tax returns from 57 returns of which 6 contain errors. What is the probability that she selects none of those containing errors?

Accepted Answer

A) 0.7163 
B) 0.0012 
C) 0.0007 
D) 0.7117 
A) 0.7163 
B) 0.0012 
C) 0.0007 
D) 0.7117

Question 7

Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten?

Accepted Answer

A)  LD-LD CD-LD LP-LP LD-LP CD-CD LD-LP LP-CD CD-LD LP-LD 
B)  LD-LD CD-LD LP-LP LD-CD CD-CD LD-LP LP-CD CD-LP LP-LD 
C)  LD-CD LD-CD LD-CD LD-LP LD-LP LD-LP CD-LP CD-LP CD-LP 
D)  CD-LD LD-LP LP-CD LP-LP LD-LD 
A)  LD-LD CD-LD LP-LP LD-LP CD-CD LD-LP LP-CD CD-LD LP-LD 
B)  LD-LD CD-LD LP-LP LD-CD CD-CD LD-LP LP-CD CD-LP LP-LD 
C)  LD-CD LD-CD LD-CD LD-LP LD-LP LD-LP CD-LP CD-LP CD-LP 
D)  CD-LD LD-LP LP-CD LP-LP LD-LD

Question 8

Determine whether the events are mutually exclusive.
-A spinner has equal regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

Accepted Answer

A)  $\frac { 2 } { 3 }$ 
B)  12 
C)  $\frac { 1 } { 3 }$ 
D)  $\frac { 7 } { 9 }$ 
A)  $\frac { 2 } { 3 }$ 
B)  12 
C)  $\frac { 1 } { 3 }$ 
D)  $\frac { 7 } { 9 }$

Question 9

Provide a written description of the complement of the given event.
-Of the thirteen different women Calvin asks for a date, at least one of them accepts.

Accepted Answer

A) All but one woman accepts Calvin's offer. 
B) None of the women accept Calvin's offer. 
C) All of the women accept Calvin's offer. 
A) All but one woman accepts Calvin's offer. 
B) None of the women accept Calvin's offer. 
C) All of the women accept Calvin's offer.

Question 10

Provide an appropriate response.
-Describe the process for making a tree diagram and give an example.

Accepted Answer

A tree diagram begins at one starting po

Question 11

Find the indicated probability.
-A: A mosquito lands on your arm. B: You get a mosquito bite.

Accepted Answer

A) Dependent 
B) Independent 
A) Dependent 
B) Independent

Question 12

Estimate the probability of the event
-The data set represents the income levels of the members of a country club. Estimate the probability that a randomly selected member earns at least $90,000. Round your answers to the nearest tenth. $$\begin{array} { l } 
104,000118,00084,000125,00087,000104,00090,00078,000139,000174,00081,00097,000132,00087,000118,000 \
111,00090,000146,00075,000111,000
\end{array}$$

Accepted Answer

A) 0.4 
B) 0.7 
C) 0.8 
D) 0.6 
A) 0.4 
B) 0.7 
C) 0.8 
D) 0.6

Question 13

Provide an appropriate response.
-Give an example of events which are independent but not mutually exclusive.

Accepted Answer

Events that are independent but not mutu

Question 14

Find the indicated probability
-If a person told you in what month he was born, would it be "unusual" to guess the date of his birth (not including the year)?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 15

Find the indicated probability
-You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that the first card is a King and the second card is a queen.

Accepted Answer

A)  $\frac { 1 } { 663 }$ 
B)  $\frac { 2 } { 13 }$ 
C)  $\frac { 13 } { 102 }$ 
D)  $\frac { 4 } { 663 }$ 
A)  $\frac { 1 } { 663 }$ 
B)  $\frac { 2 } { 13 }$ 
C)  $\frac { 13 } { 102 }$ 
D)  $\frac { 4 } { 663 }$

Question 16

The following table contains data from a study of two airlines which fly to Small Town, USA. $\begin{array}{l|cc} 
&\text { Number of flights} & \text { Number of flights } \
& \text { which were on time } & \text { which were late } \
\hline \text { Podunk Airlines } & 33 & 6 \
\text { Upstate Airlines } & 43 & 5
\end{array}$
If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time.

Accepted Answer

A)  $\frac { 76 } { 87 }$ 
B)  $\frac { 11 } { 76 }$ 
C)  $\frac { 43 } { 87 }$ 
D)  None of the above is correct. 
A)  $\frac { 76 } { 87 }$ 
B)  $\frac { 11 } { 76 }$ 
C)  $\frac { 43 } { 87 }$ 
D)  None of the above is correct.

Question 17

Find the indicated probability
-A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable.

Accepted Answer

A) 0.027 
B) 0.429 
C) 0.343 
D) 2.1 
A) 0.027 
B) 0.429 
C) 0.343 
D) 2.1

Question 18

Answer the question
-Two white mice mate. The male has both a white and a black fur-color gene. The female has only white fur-color genes. The fur color of the offspring depends on the pairs of fur-color genes that they receive. Assume that neither the white nor the black gene dominates. List the possible outcomes. W = white and B = black

Accepted Answer

A) WW, BB 
B) WB, BW 
C) WW, WW 
D) WW, BW 
A) WW, BB 
B) WB, BW 
C) WW, WW 
D) WW, BW

Question 19

Find the indicated probability
-Is it "unusual" to get a 12 when a pair of dice is rolled?

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 20

Find the indicated probability
-If you drew one card from a standard deck, would it be "unusual" to draw a 7?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Provide a written description of the complement of the given event. -When 100 engines are shipped, all of them are free of defects.

Provide an appropriate response. -Interpret the symbol P(B|A)and explain what is meant by the expression. What do we know if P(B|A)is not the same as P(B)?

Find the indicated probability -A IRS auditor randomly selects 3 tax returns from 57 returns of which 6 contain errors. What is the probability that she selects none of those containing errors?

Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten?

Determine whether the events are mutually exclusive. -A spinner has equal regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

Provide a written description of the complement of the given event. -Of the thirteen different women Calvin asks for a date, at least one of them accepts.

Provide an appropriate response. -Describe the process for making a tree diagram and give an example.

Find the indicated probability. -A: A mosquito lands on your arm. B: You get a mosquito bite.

Provide an appropriate response. -Give an example of events which are independent but not mutually exclusive.

Find the indicated probability -If a person told you in what month he was born, would it be "unusual" to guess the date of his birth (not including the year)?

Find the indicated probability -You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that the first card is a King and the second card is a queen.

Find the indicated probability -A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable.

Find the indicated probability -Is it "unusual" to get a 12 when a pair of dice is rolled?

Find the indicated probability -If you drew one card from a standard deck, would it be "unusual" to draw a 7?

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability Distributions

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters

Exam 4: Probability

Provide a written description of the complement of the given event. -When 100 engines are shipped, all of them are free of defects.

Provide an appropriate response. -Interpret the symbol P(B|A)and explain what is meant by the expression. What do we know if P(B|A)is not the same as P(B)?

Find the indicated probability -A IRS auditor randomly selects 3 tax returns from 57 returns of which 6 contain errors. What is the probability that she selects none of those containing errors?

Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten?

Determine whether the events are mutually exclusive. -A spinner has equal regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?

Provide a written description of the complement of the given event. -Of the thirteen different women Calvin asks for a date, at least one of them accepts.

Provide an appropriate response. -Describe the process for making a tree diagram and give an example.

Find the indicated probability. -A: A mosquito lands on your arm. B: You get a mosquito bite.

Provide an appropriate response. -Give an example of events which are independent but not mutually exclusive.

Find the indicated probability -If a person told you in what month he was born, would it be "unusual" to guess the date of his birth (not including the year)?

Find the indicated probability -You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that the first card is a King and the second card is a queen.

Find the indicated probability -A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable.

Find the indicated probability -Is it "unusual" to get a 12 when a pair of dice is rolled?

Find the indicated probability -If you drew one card from a standard deck, would it be "unusual" to draw a 7?

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability Distributions

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters