Question 1

$$\begin{array}{l}
\text { What probability value would be needed to complete the following probability distribution? }\
\begin{array} { | l | c | c | c | c | c | } 
\hline \mathrm { x } & - 2 & - 1 & 0 & 1 & 2 \
\hline \mathrm { P } ( \mathrm { x } ) & 0.16 & 0.17 & & 0.12 & 0.31 \
\hline
\end{array}
\end{array}$$

Accepted Answer

A)  0.15 
B)  0.25 
C)  0.10 
D)  There is no value that would make this a probability distribution 
A)  0.15 
B)  0.25 
C)  0.10 
D)  There is no value that would make this a probability distribution D

Question 2

Continuous random variables are obtained from data that can be measured rather than counted.

Accepted Answer

A) True 
 B)False  True

Question 3

When sampling is done without replacement, the binomial distribution does not give exact probabilities
because the trials are not independent.

Accepted Answer

A) True 
 B)False  True

Question 4

A university has 10,000 students of which 3000 are male and 7000 are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male
Students.

Accepted Answer

A)  Mean = 12, Variance = 12 
B)  Mean = 9, Variance = 6.3 
C)  Mean = 6, Variance = 1.8 
D)  Mean = 6.3, Variance = 9 
A)  Mean = 12, Variance = 12 
B)  Mean = 9, Variance = 6.3 
C)  Mean = 6, Variance = 1.8 
D)  Mean = 6.3, Variance = 9

Question 5

By computing the binomial mean and variance and using the empirical rule, one finds that the probability
of obtaining between 40 and 60 heads in 100 tosses of a fair coin is approximately 95%.

Accepted Answer

A) True 
 B)False

Question 6

Draw a graph showing the probability distribution for the sample space for tossing four coins.

Accepted Answer

The answer of Draw a graph showing the probability distribution...

Question 7

Give the variance of the following distribution?

Accepted Answer

A)  1.83 
B)  1.31 
C)  1.25 
D)  1.71 
A)  1.83 
B)  1.31 
C)  1.25 
D)  1.71

Question 8

A survey of 12 people at a bookstore showed that five had purchased a hardcover book. If seven people are selected at random, what is the probability that four of them had purchased a hardcover book?

Accepted Answer

A)  $12 / 86$ 
B)  $43 / 86$ 
C)  $19 / 86$ 
D)  $7 / 86$ 
A)  $12 / 86$ 
B)  $43 / 86$ 
C)  $19 / 86$ 
D)  $7 / 86$

Question 9

$$\begin{array}{l}
\text { Find the mean of the distribution shown. }\
\begin{array} { | l | c | c | c | } 
\hline \mathrm { x } & 2 & 3 & 4 \
\hline \mathrm { P } ( \mathrm { x } ) & 0.37 & 0.24 & 0.39 \
\hline
\end{array}
\end{array}$$

Accepted Answer

A)  1.52 
B)  2.02 
C)  2.52 
D)  3.02 
A)  1.52 
B)  2.02 
C)  2.52 
D)  3.02

Question 10

A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store
Gets exactly one blue parakeet?

Accepted Answer

A)  0.081 
B)  0.243 
C)  0.027 
D)  0.003 
A)  0.081 
B)  0.243 
C)  0.027 
D)  0.003

Question 11

If the standard deviation of a probability distribution is 6.25, the variance is 2.30.

Accepted Answer

A) True 
 B)False

Question 12

Find the mean of the distribution shown.

Accepted Answer

A)  -1.89 
B)  -1.58 
C)  -2.10 
D)  2.10 
A)  -1.89 
B)  -1.58 
C)  -2.10 
D)  2.10

Question 13

In a multinomial distribution, events must be mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 14

If there are 20 typographical errors randomly distributed in a 250-page document, the probability that a
given page contains exactly two errors is $0.3 \%$

Accepted Answer

A) True 
 B)False

Question 15

For the following data, construct a graph showing the probability distribution.

Accepted Answer

The answer of For the following data, construct a graph...

Question 16

The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below.

What is the mean distribution of the data given above?

Accepted Answer

A)  1.37 
B)  2.15 
C)  1.89 
D)  1.18 
A)  1.37 
B)  2.15 
C)  1.89 
D)  1.18

Question 17

On a Saturday evening, 34% of the people in Winnipeg go out to dinner, 18% see a movie, 13% have a party, and 35% stay home. If seven people are randomly selected, what is the probability that one eats
Out, three see a movie, two have a party, and one stays at home?

Accepted Answer

A)  0.099 
B)  0.459 
C)  0.102 
D)  0.0049 
A)  0.099 
B)  0.459 
C)  0.102 
D)  0.0049

Question 18

$$\begin{array}{l}
\text { Find the mean of the distribution shown. }\
\begin{array} { | l | c | c | } 
\hline \mathrm { X } & 4 & 6 \
\hline \mathrm { P } ( \mathrm { x } ) & 0.28 & 0.72 \
\hline
\end{array}
\end{array}$$

Accepted Answer

A)  1.72 
B)  4.00 
C)  5.44 
D)  6.00 
A)  1.72 
B)  4.00 
C)  5.44 
D)  6.00

Question 19

A computer store has 50 printers of which 40 are laser printers and 10 are ink jet printers. If a group of 10 printers is chosen at random from the store, find the mean and variance of the number of ink jet
Printers.

Accepted Answer

A)  Mean = 2, Variance = 0.2 
B)  Mean = 2, Variance = 3 
C)  Mean = 1, Variance = 0.2 
D)  Mean = 2, Variance = 1.6 
A)  Mean = 2, Variance = 0.2 
B)  Mean = 2, Variance = 3 
C)  Mean = 1, Variance = 0.2 
D)  Mean = 2, Variance = 1.6

Question 20

The probability that a person will have 0, 1, or 2 dental checkups per year is 0.2, 0.5, and 0.3, respectively. If seven people are picked at random, what is the probability that two will have no
Checkups, four will have one checkup, and one will have two checkups in the next year?

Accepted Answer

A)  0.079 
B)  0.013 
C)  0.008 
D)  0.043 
A)  0.079 
B)  0.013 
C)  0.008 
D)  0.043

What probability value would be needed to complete the following probability distribution? -2 -1 0 1 2 () 0.16 0.17 0.12 0.31

Continuous random variables are obtained from data that can be measured rather than counted.

When sampling is done without replacement, the binomial distribution does not give exact probabilities because the trials are not independent.

A university has 10,000 students of which 3000 are male and 7000 are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male Students.

By computing the binomial mean and variance and using the empirical rule, one finds that the probability of obtaining between 40 and 60 heads in 100 tosses of a fair coin is approximately 95%.

Draw a graph showing the probability distribution for the sample space for tossing four coins.

Give the variance of the following distribution?

A survey of 12 people at a bookstore showed that five had purchased a hardcover book. If seven people are selected at random, what is the probability that four of them had purchased a hardcover book?

Find the mean of the distribution shown. 2 3 4 () 0.37 0.24 0.39

A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store Gets exactly one blue parakeet?

If the standard deviation of a probability distribution is 6.25, the variance is 2.30.

Find the mean of the distribution shown.

In a multinomial distribution, events must be mutually exclusive.

If there are 20 typographical errors randomly distributed in a 250-page document, the probability that a given page contains exactly two errors is $0.3 \%$

For the following data, construct a graph showing the probability distribution.

The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below. What is the mean distribution of the data given above?

On a Saturday evening, 34% of the people in Winnipeg go out to dinner, 18% see a movie, 13% have a party, and 35% stay home. If seven people are randomly selected, what is the probability that one eats Out, three see a movie, two have a party, and one stays at home?

Find the mean of the distribution shown. 4 6 () 0.28 0.72

A computer store has 50 printers of which 40 are laser printers and 10 are ink jet printers. If a group of 10 printers is chosen at random from the store, find the mean and variance of the number of ink jet Printers.

The probability that a person will have 0, 1, or 2 dental checkups per year is 0.2, 0.5, and 0.3, respectively. If seven people are picked at random, what is the probability that two will have no Checkups, four will have one checkup, and one will have two checkups in the next year?

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Correlation and Regression

Chi-Square and Analysis of Variance Anova

Tables

Data Bank

Glossary

Filters

Exam 4: Discrete Probability Distributions

What probability value would be needed to complete the following probability distribution? -2 -1 0 1 2 () 0.16 0.17 0.12 0.31

Continuous random variables are obtained from data that can be measured rather than counted.

When sampling is done without replacement, the binomial distribution does not give exact probabilities because the trials are not independent.

A university has 10,000 students of which 3000 are male and 7000 are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male Students.

By computing the binomial mean and variance and using the empirical rule, one finds that the probability of obtaining between 40 and 60 heads in 100 tosses of a fair coin is approximately 95%.

Draw a graph showing the probability distribution for the sample space for tossing four coins.

Give the variance of the following distribution?

A survey of 12 people at a bookstore showed that five had purchased a hardcover book. If seven people are selected at random, what is the probability that four of them had purchased a hardcover book?

Find the mean of the distribution shown. 2 3 4 () 0.37 0.24 0.39

A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store Gets exactly one blue parakeet?

If the standard deviation of a probability distribution is 6.25, the variance is 2.30.

Find the mean of the distribution shown.

In a multinomial distribution, events must be mutually exclusive.

If there are 20 typographical errors randomly distributed in a 250-page document, the probability that a given page contains exactly two errors is 0.3%0.3 \%0.3%

For the following data, construct a graph showing the probability distribution.

The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below. What is the mean distribution of the data given above?

On a Saturday evening, 34% of the people in Winnipeg go out to dinner, 18% see a movie, 13% have a party, and 35% stay home. If seven people are randomly selected, what is the probability that one eats Out, three see a movie, two have a party, and one stays at home?

Find the mean of the distribution shown. 4 6 () 0.28 0.72

A computer store has 50 printers of which 40 are laser printers and 10 are ink jet printers. If a group of 10 printers is chosen at random from the store, find the mean and variance of the number of ink jet Printers.

The probability that a person will have 0, 1, or 2 dental checkups per year is 0.2, 0.5, and 0.3, respectively. If seven people are picked at random, what is the probability that two will have no Checkups, four will have one checkup, and one will have two checkups in the next year?

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Proportions, and Two Variances

Correlation and Regression

Chi-Square and Analysis of Variance Anova

Tables

Data Bank

Glossary

Filters

If there are 20 typographical errors randomly distributed in a 250-page document, the probability that a given page contains exactly two errors is $0.3 \%$