Question 1

Answer the question.
-Rolling a single "loaded" die 58 times, keeping track of the numbers that are rolled.

Accepted Answer

A) Procedure results in a binomial distribution. 
B) Not binomial: there are too many trials. 
C) Not binomial: the trials are not independent. 
D) Not binomial: there are more than two outcomes for each trial. 
A) Procedure results in a binomial distribution. 
B) Not binomial: there are too many trials. 
C) Not binomial: the trials are not independent. 
D) Not binomial: there are more than two outcomes for each trial.

Question 2

Determine if the outcome is unusual. Consider as unusual any result that differs from the mean by more than 2 standard deviations. That is, unusual values are either less than $\mu - 2 \sigma$ or greater than $\mu + 2 \sigma$.
-The Acme Candy Company claims that 60% of the jawbreakers it produces weigh more than .4 ounces. Suppose that 800 jawbreakers are selected at random from the production lines. Would it be unusual for this sample of 800 to contain 528 jawbreakers that weigh more than .4 ounces?

Accepted Answer

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

Question 3

Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
-$$\frac { 1 } { 3 }$$ n = 10, x = 2, p =

Accepted Answer

A) 0.1951 
B) 0.1929 
C) 0.2156 
D) 0.0028 
A) 0.1951 
B) 0.1929 
C) 0.2156 
D) 0.0028

Question 4

Find the mean of the given probability distribution.
-A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.50, 0.38, 0.11, and 0.01, respectively.

Accepted Answer

A) 0.63 
B) 0.25 
C) 1.50 
D) 1.13 
A) 0.63 
B) 0.25 
C) 1.50 
D) 1.13

Question 5

Find the standard deviation, ?, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
-$$n = 1504 ; p = .57$$

Accepted Answer

A)  $\mu = 864.6$ 
B)  $\mu = 857.3$ 
C)  $\boldsymbol { \mu } = 849.8$ 
D)  $\mu = 867.0$ 
A)  $\mu = 864.6$ 
B)  $\mu = 857.3$ 
C)  $\boldsymbol { \mu } = 849.8$ 
D)  $\mu = 867.0$

Question 6

Use the given values of n and p to find the minimum usual value µ - 2? and the maximum usual value µ + 2?
-n = 1100, p = 0.84

Accepted Answer

A) Minimum: 899.68; maximum: 948.32 
B) Minimum: 906.8; maximum: 941.2 
C) Minimum: 948.32; maximum: 899.68 
D) Minimum: 911.84; maximum: 936.16 
A) Minimum: 899.68; maximum: 948.32 
B) Minimum: 906.8; maximum: 941.2 
C) Minimum: 948.32; maximum: 899.68 
D) Minimum: 911.84; maximum: 936.16

Question 7

For a certain type of fabric, the average number of defects in each square foot of fabric is 0.3. Find the probability that a randomly selected square foot of the fabric will contain more than one defect.

Accepted Answer

A) 0.0369 
B) 0.7778 
C) 0.0333 
D) 0.9631 
A) 0.0369 
B) 0.7778 
C) 0.0333 
D) 0.9631

Question 8

In a study, 39% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 13 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 13 adults are randomly selected, 3 or fewer are in excellent health.

Accepted Answer

A) 0.1877 
B) 0.1256 
C) 0.0667 
D) 0.1210 
A) 0.1877 
B) 0.1256 
C) 0.0667 
D) 0.1210

Question 9

Suppose that voting in municipal elections is being studied and that the accompanying tables describes the probability distribution for four randomly selected people, where x is the number that voted in the last election. Is it unusual to find four voters among four randomly selected people? $$\begin{array} { c | c } 
x & P ( x ) \
\hline 0 & 0.23 \
\hline 1 & 0.32 \
\hline 2 & 0.26 \
\hline 3 & 0.15 \
\hline 4 & 0.04
\end{array}$$

Accepted Answer

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

Question 10

Solve the problem.
-The probability is 0.6 that a person shopping at a certain store will spend less than $20. For groups of size 19, find the mean number who spend less than $20.

Accepted Answer

A) 12.0 
B) 7.6 
C) 11.4 
D) 8.0 
A) 12.0 
B) 7.6 
C) 11.4 
D) 8.0

Question 11

Answer the question.
-Choosing 3 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green)one at a time with replacement, keeping track of the number of red marbles chosen.

Accepted Answer

A) Not binomial: the trials are not independent. 
B) Not binomial: there are more than two outcomes for each trial. 
C) Not binomial: there are too many trials. 
D) Procedure results in a binomial distribution. 
A) Not binomial: the trials are not independent. 
B) Not binomial: there are more than two outcomes for each trial. 
C) Not binomial: there are too many trials. 
D) Procedure results in a binomial distribution.

Question 12

Solve the problem.
-According to a college survey, 22% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 16.

Accepted Answer

A) 3.52 
B) 2.75 
C) 1.88 
D) 1.66 
A) 3.52 
B) 2.75 
C) 1.88 
D) 1.66

Question 13

Provide an appropriate response.
-Suppose an event has a 80% chance of success. Show a probability distribution for the number of successes in 8 trials. Find the mean and SD. Create an interval of ±2 SD about the mean. Would exactly 4 successes out of 8 be an unusual occurrence? Justify your answer in terms of the Range Rule of Thumb.

Accepted Answer

The probability distribution is shown be

Question 14

Solve the problem.
-A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.52, 0.40, 0.07, and 0.01, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.

Accepted Answer

A) 0.98 
B) 0.88 
C) 0.45 
D) 0.67 
A) 0.98 
B) 0.88 
C) 0.45 
D) 0.67

Question 15

Use the given values of n and p to find the minimum usual value µ - 2? and the maximum usual value µ + 2?
-n = 1647, p = 0.493

Accepted Answer

A) Minimum: 771.392; maximum: 852.55 
B) Minimum: 783.277; maximum: 840.665 
C) Minimum: 791.681; maximum: 832.261 
D) Minimum: 852.55; maximum: 771.392 
A) Minimum: 771.392; maximum: 852.55 
B) Minimum: 783.277; maximum: 840.665 
C) Minimum: 791.681; maximum: 832.261 
D) Minimum: 852.55; maximum: 771.392

Question 16

Solve the problem.
-Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected value?

Accepted Answer

A) -$0.40 
B) -$0.50 
C) -$1.00 
D) $0.00 
A) -$0.40 
B) -$0.50 
C) -$1.00 
D) $0.00

Question 17

Solve the problem.
-On a multiple choice test with 11 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the mean for the number of correct answers.

Accepted Answer

A) 3.7 
B) 2.8 
C) 8.3 
D) 5.5 
A) 3.7 
B) 2.8 
C) 8.3 
D) 5.5

Question 18

Answer the question.
-Choosing 8 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green)one at a time without replacement, keeping track of the number of red marbles chosen.

Accepted Answer

A) Not binomial: the trials are not independent. 
B) Not binomial: there are more than two outcomes for each trial. 
C) Procedure results in a binomial distribution. 
D) Not binomial: there are too many trials. 
A) Not binomial: the trials are not independent. 
B) Not binomial: there are more than two outcomes for each trial. 
C) Procedure results in a binomial distribution. 
D) Not binomial: there are too many trials.

Question 19

Use the normal distribution to approximate the desired probability.
-Find the probability of selecting exactly 4 girls.

Accepted Answer

A) 0.022 
B) 0.061 
C) 0.122 
D) 0.001 
A) 0.022 
B) 0.061 
C) 0.122 
D) 0.001

Question 20

The number of calls received by a car towing service averages 21.6 per day (per 24-hour period). After finding the mean number of calls per hour, find the probability that in a randomly selected hour the number of calls is 4.

Accepted Answer

A) 0.01111 
B) 0.01000 
C) 0.01223 
D) 0.01389 
A) 0.01111 
B) 0.01000 
C) 0.01223 
D) 0.01389

Answer the question. -Rolling a single "loaded" die 58 times, keeping track of the numbers that are rolled.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. - $\frac { 1 } { 3 }$ n = 10, x = 2, p =

Find the mean of the given probability distribution. -A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.50, 0.38, 0.11, and 0.01, respectively.

Find the standard deviation, ?, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. - $n = 1504 ; p = .57$

Use the given values of n and p to find the minimum usual value µ - 2? and the maximum usual value µ + 2? -n = 1100, p = 0.84

For a certain type of fabric, the average number of defects in each square foot of fabric is 0.3. Find the probability that a randomly selected square foot of the fabric will contain more than one defect.

Solve the problem. -The probability is 0.6 that a person shopping at a certain store will spend less than $20. For groups of size 19, find the mean number who spend less than $20.

Answer the question. -Choosing 3 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green)one at a time with replacement, keeping track of the number of red marbles chosen.

Solve the problem. -According to a college survey, 22% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 16.

Solve the problem. -A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.52, 0.40, 0.07, and 0.01, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.

Use the given values of n and p to find the minimum usual value µ - 2? and the maximum usual value µ + 2? -n = 1647, p = 0.493

Solve the problem. -Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected value?

Solve the problem. -On a multiple choice test with 11 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the mean for the number of correct answers.

Answer the question. -Choosing 8 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green)one at a time without replacement, keeping track of the number of red marbles chosen.

Use the normal distribution to approximate the desired probability. -Find the probability of selecting exactly 4 girls.

The number of calls received by a car towing service averages 21.6 per day (per 24-hour period). After finding the mean number of calls per hour, find the probability that in a randomly selected hour the number of calls is 4.

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability

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 5: Probability Distributions

Answer the question. -Rolling a single "loaded" die 58 times, keeping track of the numbers that are rolled.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. - 13\frac { 1 } { 3 }31​ n = 10, x = 2, p =

Find the mean of the given probability distribution. -A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.50, 0.38, 0.11, and 0.01, respectively.

Find the standard deviation, ?, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. - n=1504;p=.57n = 1504 ; p = .57n=1504;p=.57

Use the given values of n and p to find the minimum usual value µ - 2? and the maximum usual value µ + 2? -n = 1100, p = 0.84

For a certain type of fabric, the average number of defects in each square foot of fabric is 0.3. Find the probability that a randomly selected square foot of the fabric will contain more than one defect.

Solve the problem. -The probability is 0.6 that a person shopping at a certain store will spend less than $20. For groups of size 19, find the mean number who spend less than $20.

Answer the question. -Choosing 3 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green)one at a time with replacement, keeping track of the number of red marbles chosen.

Solve the problem. -According to a college survey, 22% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 16.

Solve the problem. -A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.52, 0.40, 0.07, and 0.01, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.

Use the given values of n and p to find the minimum usual value µ - 2? and the maximum usual value µ + 2? -n = 1647, p = 0.493

Solve the problem. -Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected value?

Solve the problem. -On a multiple choice test with 11 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the mean for the number of correct answers.

Answer the question. -Choosing 8 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green)one at a time without replacement, keeping track of the number of red marbles chosen.

Use the normal distribution to approximate the desired probability. -Find the probability of selecting exactly 4 girls.

The number of calls received by a car towing service averages 21.6 per day (per 24-hour period). After finding the mean number of calls per hour, find the probability that in a randomly selected hour the number of calls is 4.

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability

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

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. - $\frac { 1 } { 3 }$ n = 10, x = 2, p =

Find the standard deviation, ?, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. - $n = 1504 ; p = .57$