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

A(n) __________ is one in which values are determined by chance. 
________________________________________

Accepted Answer

The answer of A(n) __________ is one in which values...

Question 3

A(n) __________ probability distribution consists of the values a random variable can assume and the
corresponding probabilities of the values. 
________________________________________

Accepted Answer

The answer of A(n) __________ probability distribution consists of the...

Question 4

Without writing down any calculations, determine the mean of the distribution shown. The variance of this probability distribution is (you can do this in your head!) $$\begin{array} { | l | c | c | c | } 
\hline \mathrm { x } & - 1 & 0 & 1 \
\hline \mathrm { P } ( \mathrm { x } ) & 0.25 & 0.50 & 0.25 \
\hline
\end{array}$$
A) 0.25
B) 0.50
C) 0.75
D) 1.00

Accepted Answer

The mean of a probability distribution is the expected value, which is the sum of each possible value multiplied by its probability. In this case, the mean is (-1)(0.25) + (0)(0.50) + (1)(0.25) = 0.

Question 5

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 6

Which of the following would be a measure of spread of a probability distribution. 
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) $\sum \left( X _ { 1 } - \mu \right) ^ { 2 } \cdot P \left( X _ { 1 } \right)$

Accepted Answer

Option D is the formula for variance, which is a measure of spread of a probability distribution. The other options are formulas for expected value, expected value squared, and deviation from the expected value, which do not measure spread.

Question 7

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

Accepted Answer

This is true as it is standard practice to round the mean, variance, and standard deviation to one more decimal place than the outcome X to maintain consistency and accuracy in reporting the results.

Question 8

The __________ is a distribution of a variable that has two outcomes when sampling is done without
replacement. 
________________________________________

Accepted Answer

The answer of The __________ is a distribution of a...

Question 9

A school is sending 9 children to a camp. If 15% of the children in the school are first graders, and the 8
children are selected at random, what is the mean and variance of the number of first graders chosen?

Accepted Answer

The answer of A school is sending 9 children to...

Question 10

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

Accepted Answer

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

Question 11

One of the requirements for a binomial experiment is that there must be a __________ number of
trials. 
________________________________________

Accepted Answer

The answer of One of the requirements for a binomial...

Question 12

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 13

A club consists of 4 male students and 6 female students. The probability P(X) of selecting without replacement a sample of size 4 of 2 male students and 2 female students is 
A) $1 / 210$
B) $210 / ( 615 )$
C) $( 615 ) / 210$
D) $1 / ( 615 )$

Accepted Answer

The answer of A club consists of 4 male students...

Question 14

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 answer of In a survey, 65% of the voters...

Question 15

The figure below represents the probability distribution for selecting a number of objects out of a container. Construct a probability distribution from this graph.

Accepted Answer

The answer of The figure below represents the probability distribution...

Question 16

In a survey, 80% 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 mean and variance of X.

Accepted Answer

The answer of In a survey, 80% of the voters...

Question 17

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 18

Which of the following could be used as a measure of spread of a probability distribution. 
A) $\sum \left( X _ { 1 } - \mu \right) ^ { 2 } \cdot P \left( X _ { 1 } \right)$
B) $\sum \left( X _ { 1 } - \operatorname { median } ( X ) \right) ^ { 2 } \cdot P \left( K _ { l } \right)$
C) $\sum \left| X _ { i } - \mu \right| \cdot P \left( X _ { i } \right)$
D) All of these formula measure spread

Accepted Answer

All of these formulas measure spread by calculating the weighted average of the squared deviations from a central measure.

Question 19

If 1.5% of the bolts made by an automotive factory are defective, what is the probability that in a
shipment of 200 bolts, there are 6 defective bolts?

Accepted Answer

The answer of If 1.5% of the bolts made by...

Quiz 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

A(n) is one in which values are determined by chance. ______________________________

A(n) probability distribution consists of the values a random variable can assume and the corresponding probabilities of the values. ______________________________

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

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

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

The is a distribution of a variable that has two outcomes when sampling is done without replacement. ______________________________

A school is sending 9 children to a camp. If 15% of the children in the school are first graders, and the 8 children are selected at random, what is the mean and variance of the number of first graders chosen?

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

One of the requirements for a binomial experiment is that there must be a number of trials. ______________________________

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

A club consists of 4 male students and 6 female students. The probability P(X) of selecting without replacement a sample of size 4 of 2 male students and 2 female students is

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 figure below represents the probability distribution for selecting a number of objects out of a container. Construct a probability distribution from this graph.

In a survey, 80% 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 mean and variance of X.

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

Which of the following could be used as a measure of spread of a probability distribution.

If 1.5% of the bolts made by an automotive factory are defective, what is the probability that in a shipment of 200 bolts, there are 6 defective bolts?

Quiz 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

A(n) __________ is one in which values are determined by chance. ________________________________________

A(n) __________ probability distribution consists of the values a random variable can assume and the corresponding probabilities of the values. ________________________________________

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

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

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

The __________ is a distribution of a variable that has two outcomes when sampling is done without replacement. ________________________________________

A school is sending 9 children to a camp. If 15% of the children in the school are first graders, and the 8 children are selected at random, what is the mean and variance of the number of first graders chosen?

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

One of the requirements for a binomial experiment is that there must be a __________ number of trials. ________________________________________

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

A club consists of 4 male students and 6 female students. The probability P(X) of selecting without replacement a sample of size 4 of 2 male students and 2 female students is

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 figure below represents the probability distribution for selecting a number of objects out of a container. Construct a probability distribution from this graph.

In a survey, 80% 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 mean and variance of X.

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

Which of the following could be used as a measure of spread of a probability distribution.

If 1.5% of the bolts made by an automotive factory are defective, what is the probability that in a shipment of 200 bolts, there are 6 defective bolts?

A(n) is one in which values are determined by chance. ______________________________

A(n) probability distribution consists of the values a random variable can assume and the corresponding probabilities of the values. ______________________________

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

The is a distribution of a variable that has two outcomes when sampling is done without replacement. ______________________________

One of the requirements for a binomial experiment is that there must be a number of trials. ______________________________

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