Question 1

The number of song requests a radio station receives per day is indicated in the table below. Construct a graph for this data

Accepted Answer

The answer of The number of song requests a radio...

Question 2

Using the multinomial formula, find the probability of the following data.
$$\begin{array} { l } 
n = 8 , x _ { 1 } = 4 , x _ { 2 } = 3 , x _ { 3 } = 1 \
p _ { 1 } = 03 , p _ { 2 } = 05 , p _ { 3 } = 02
\end{array}$$

Accepted Answer

A)  0.057 
B)  0.224 
C)  0.014 
D)  0.022 
A)  0.057 
B)  0.224 
C)  0.014 
D)  0.022

Question 3

The Poisson distribution is used when n is small and p is large.

Accepted Answer

A) True 
 B)False

Question 4

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

Give the standard deviation for the probability distribution above.

Accepted Answer

A)  1.46 
B)  2.25 
C)  1.89 
D)  1.18 
A)  1.46 
B)  2.25 
C)  1.89 
D)  1.18

Question 5

In a survey, 65% of the voters support a particular referendum. If 40 voters are chosen at random, and X
is the number of voters that support this referendum, find the standard deviation of X.

Accepted Answer

The standa

Question 6

$\text { The following distribution is not a probability distribution }$ because  
$\begin{array}{|l|c|c|c|c|c|}
\hline \mathrm{x} & -5 & -4 & -3 & -2 & -1 \
\hline \mathrm{P}(\mathrm{x}) & 0.18 & 0.26 & -0.21 & 0.46 & 0.31 \
\hline
\end{array}$

Accepted Answer

A)  A values of x is negative 
B)  A probability is negative 
C)  The probability values do not add to 1 
D)  The probability values are not discrete 
A)  A values of x is negative 
B)  A probability is negative 
C)  The probability values do not add to 1 
D)  The probability values are not discrete

Question 7

In binomial experiments, the outcomes are usually classified as successes or failures.

Accepted Answer

A) True 
 B)False

Question 8

A bag contains 25 white marbles and 32 black marbles. The probability P(X) of selecting without replacement a sample of size 9 of 3 white marbles and 6 black marbles is

Accepted Answer

A)  ${ } _ { 57 } \mathrm { C } _ { 9 }$ 
B)  ${ } _ { 57 } \mathrm { C } _ { 9 } / \left\{ { } _ { 3 } \mathrm { C } _ { 25 } \times { } _ { 6 } \mathrm { C } _ { 32 } \right\}$ 
C)  $\left\{ { } _ { 6 } \mathrm { C } _ { 3 } \times { } _ { 32 } \mathrm { C } _ { 25 } \right\} / { } _ { 57 } \mathrm { C } _ { 9 }$ 
D)  $\left\{ { } _ { 3 } \mathrm { C } _ { 25 } \times { } _ { 6 } \mathrm { C } _ { 32 } \right\} / { } _ { 57 } \mathrm { C } _ { 9 }$ 
A)  ${ } _ { 57 } \mathrm { C } _ { 9 }$ 
B)  ${ } _ { 57 } \mathrm { C } _ { 9 } / \left\{ { } _ { 3 } \mathrm { C } _ { 25 } \times { } _ { 6 } \mathrm { C } _ { 32 } \right\}$ 
C)  $\left\{ { } _ { 6 } \mathrm { C } _ { 3 } \times { } _ { 32 } \mathrm { C } _ { 25 } \right\} / { } _ { 57 } \mathrm { C } _ { 9 }$ 
D)  $\left\{ { } _ { 3 } \mathrm { C } _ { 25 } \times { } _ { 6 } \mathrm { C } _ { 32 } \right\} / { } _ { 57 } \mathrm { C } _ { 9 }$

Question 9

$\text { Using the probability distribution listed, the mean would be } 1.6 .$
$\begin{array}{ll|l|l|l|}
\hline x & 0 & 1 & 2 & 3 \
\hline P x & 0.2 & 0.1 & 0.3 & 0.4 \
\hline
\end{array}$

Accepted Answer

A) True 
 B)False

Question 10

Using the formula for the multinomial distribution, the probability of $\mathrm { X } 1 = 2 , \mathrm { X } 2 = 2 , \mathrm { X } 3 = 1$ when $\mathrm { n } = 5$, $\mathrm { p } 1 = 0.4 , \mathrm { p } 2 = 0.5 , \mathrm { p } 3 = 0.1$ is

Accepted Answer

A)  $0.0600$ 
B)  $0.0900$ 
C)  $0.1200$ 
D)  $0.1800$ 
A)  $0.0600$ 
B)  $0.0900$ 
C)  $0.1200$ 
D)  $0.1800$

Question 11

If a trial in an experiment has more than two outcomes, a(n) __________ distribution must be used. 
________________________________________

Accepted Answer

The answer of If a trial in an experiment has...

Question 12

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.

Accepted Answer

A)  0.19 
B)  0.17 
C)  0.08 
D)  0.23 
A)  0.19 
B)  0.17 
C)  0.08 
D)  0.23

Question 13

The mean, variance, and standard deviation should be rounded to one more decimal place than the
outcome, X.

Accepted Answer

A) True 
 B)False

Question 14

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

Accepted Answer

A)  0.12 
B)  0.24 
C)  0.41 
D)  0.76 
A)  0.12 
B)  0.24 
C)  0.41 
D)  0.76

Question 15

What is the standard deviation of the following probability distribution?

Accepted Answer

A)  2.6 
B)  4.7 
C)  5.4 
D)  3.9 
A)  2.6 
B)  4.7 
C)  5.4 
D)  3.9

Question 16

The probability of observing 50 heads in 100 tosses of a fair coin is less likely than observing 500 heads
in 1000 tosses.

Accepted Answer

A) True 
 B)False

Question 17

Which of the following would be a measure of spread of a probability distribution.

Accepted Answer

A)  $\sum X _ { i } \cdot P \left( X _ { i } \right)$ 
B)  $\sum X _ { i } ^ { 2 } \cdot P \left( X _ { 1 } \right)$ 
C)  $\sum \left( K _ { i } - \mu \right) \cdot P \left( K _ { i } \right)$ 
D)  $\sum \left( X _ { 1 } - \mu \right) ^ { 2 } \cdot P \left( X _ { 1 } \right)$ 
A)  $\sum X _ { i } \cdot P \left( X _ { i } \right)$ 
B)  $\sum X _ { i } ^ { 2 } \cdot P \left( X _ { 1 } \right)$ 
C)  $\sum \left( K _ { i } - \mu \right) \cdot P \left( K _ { i } \right)$ 
D)  $\sum \left( X _ { 1 } - \mu \right) ^ { 2 } \cdot P \left( X _ { 1 } \right)$

Question 18

The __________ of a discrete random variable of a probability distribution is the theoretical average of
the variable. 
________________________________________

Accepted Answer

The answer of The __________ of a discrete random variable...

Question 19

A coin is tossed five times. Find the probability of getting exactly three heads.

Accepted Answer

A)  0.3750 
B)  0.1563 
C)  0.2500 
D)  0.3125 
A)  0.3750 
B)  0.1563 
C)  0.2500 
D)  0.3125

Question 20

Give the mean of the following probability distribution? $$\begin{array} { | l | l | } 
\hline x & P ( x ) \
\hline 1 & 0.20 \
\hline 2 & 0.10 \
\hline 3 & 0.35 \
\hline 4 & 0.05 \
\hline 5 & 0.30 \
\hline
\end{array}$$

Accepted Answer

A)  1.20 
B)  1.46 
C)  3.15 
D)  2.13 
A)  1.20 
B)  1.46 
C)  3.15 
D)  2.13

The number of song requests a radio station receives per day is indicated in the table below. Construct a graph for this data

Using the multinomial formula, find the probability of the following data. n=8,=4,=3,=1 =03,=05,=02

The Poisson distribution is used when n is small and p is large.

The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below. Give the standard deviation for the probability distribution above.

In a survey, 65% of the voters support a particular referendum. If 40 voters are chosen at random, and X is the number of voters that support this referendum, find the standard deviation of X.

$\text { The following distribution is not a probability distribution }$ because -5 -4 -3 -2 -1 () 0.18 0.26 -0.21 0.46 0.31

In binomial experiments, the outcomes are usually classified as successes or failures.

A bag contains 25 white marbles and 32 black marbles. The probability P(X) of selecting without replacement a sample of size 9 of 3 white marbles and 6 black marbles is

$\text { Using the probability distribution listed, the mean would be } 1.6 .$ x 0 1 2 3 Px 0.2 0.1 0.3 0.4

Using the formula for the multinomial distribution, the probability of $\mathrm { X } 1 = 2 , \mathrm { X } 2 = 2 , \mathrm { X } 3 = 1$ when $\mathrm { n } = 5$ , $\mathrm { p } 1 = 0.4 , \mathrm { p } 2 = 0.5 , \mathrm { p } 3 = 0.1$ is

If a trial in an experiment has more than two outcomes, a(n) distribution must be used. ______________________________

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.

The mean, variance, and standard deviation should be rounded to one more decimal place than the outcome, X.

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

What is the standard deviation of the following probability distribution?

The probability of observing 50 heads in 100 tosses of a fair coin is less likely than observing 500 heads in 1000 tosses.

Which of the following would be a measure of spread of a probability distribution.

The of a discrete random variable of a probability distribution is the theoretical average of the variable. ______________________________

A coin is tossed five times. Find the probability of getting exactly three heads.

Give the mean of the following probability distribution? x P(x) 1 0.20 2 0.10 3 0.35 4 0.05 5 0.30

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

The number of song requests a radio station receives per day is indicated in the table below. Construct a graph for this data

Using the multinomial formula, find the probability of the following data. n=8,=4,=3,=1 =03,=05,=02

The Poisson distribution is used when n is small and p is large.

The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below. Give the standard deviation for the probability distribution above.

In a survey, 65% of the voters support a particular referendum. If 40 voters are chosen at random, and X is the number of voters that support this referendum, find the standard deviation of X.

The following distribution is not a probability distribution \text { The following distribution is not a probability distribution } The following distribution is not a probability distribution because -5 -4 -3 -2 -1 () 0.18 0.26 -0.21 0.46 0.31

In binomial experiments, the outcomes are usually classified as successes or failures.

A bag contains 25 white marbles and 32 black marbles. The probability P(X) of selecting without replacement a sample of size 9 of 3 white marbles and 6 black marbles is

Using the probability distribution listed, the mean would be 1.6.\text { Using the probability distribution listed, the mean would be } 1.6 . Using the probability distribution listed, the mean would be 1.6. x 0 1 2 3 Px 0.2 0.1 0.3 0.4

If a trial in an experiment has more than two outcomes, a(n) __________ distribution must be used. ________________________________________

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.

The mean, variance, and standard deviation should be rounded to one more decimal place than the outcome, X.

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

What is the standard deviation of the following probability distribution?

The probability of observing 50 heads in 100 tosses of a fair coin is less likely than observing 500 heads in 1000 tosses.

Which of the following would be a measure of spread of a probability distribution.

The __________ of a discrete random variable of a probability distribution is the theoretical average of the variable. ________________________________________

A coin is tossed five times. Find the probability of getting exactly three heads.

Give the mean of the following probability distribution? x P(x) 1 0.20 2 0.10 3 0.35 4 0.05 5 0.30

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

$\text { The following distribution is not a probability distribution }$ because -5 -4 -3 -2 -1 () 0.18 0.26 -0.21 0.46 0.31

$\text { Using the probability distribution listed, the mean would be } 1.6 .$ x 0 1 2 3 Px 0.2 0.1 0.3 0.4

If a trial in an experiment has more than two outcomes, a(n) distribution must be used. ______________________________

The of a discrete random variable of a probability distribution is the theoretical average of the variable. ______________________________