Question 1

A probability distribution is an equation that

Accepted Answer

A probability distribution associates a particular probability of occurrence with each outcome in the sample space. It helps in determining the likelihood of an event taking place in a given situation. Options A and B do not accurately describe what a probability distribution is, while option C only partially describes it.

Question 2

Instruction 5.1
The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a double satellite media.
 $$\begin{array} { | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 \
\hline p ( X ) & 0.35 & 0.35 & 0.25 & 0.05 \
\hline
\end{array}$$
-Referring to Instruction 5.1,the mean or expected value for the number of retransmissions is ______.

Accepted Answer

1.0

Question 3

A lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts.Suppose the mean cost of rats used in lab experiments turned out to be $13.00 per week.Interpret this value.

Accepted Answer

The mean cost of rats used in the lab experiments being $13.00 per week means that the average cost for all weekly rat purchases is $13.00.

Question 4

Instruction 5.2
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline & 0.1 & 0.2 & 0.4 & 0.1 & 0.0 & 0.0 \
P ( X ) & 0 & 0 & 5 & 5 & 5 & 5 \
\hline
\end{array}$$
-Referring to Instruction 5.2,the probability of three accidents is ______.

Accepted Answer

The answer of Instruction 5.2
The following table contains the probability...

Question 5

The standard deviation of a discrete random variable is the square root of the______

Accepted Answer

The answer of The standard deviation of a discrete random...

Question 6

Instruction 5.2
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline & 0.1 & 0.2 & 0.4 & 0.1 & 0.0 & 0.0 \
P ( X ) & 0 & 0 & 5 & 5 & 5 & 5 \
\hline
\end{array}$$
-Referring to Instruction 5.2,the variance of the number of accidents is ______

Accepted Answer

The answer of Instruction 5.2
The following table contains the probability...

Question 7

Numerical variables are classified as either discrete or continuous.

Accepted Answer

Numerical variables can be classified as either discrete or continuous, depending on whether they fall into a specific set of values or can take on any value within a range.

Question 8

The variance of a discrete random variable is directly related to the standard deviation.

Accepted Answer

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

Question 9

Instruction 5.2
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline & 0.1 & 0.2 & 0.4 & 0.1 & 0.0 & 0.0 \
P ( X ) & 0 & 0 & 5 & 5 & 5 & 5 \
\hline
\end{array}$$
-Referring to Instruction 5.2,the mean or expected value of the number of accidents is ______.

Accepted Answer

The answer of Instruction 5.2
The following table contains the probability...

Question 10

A probability distribution for a discrete random variable is a mutually exclusive list of all possible numerical outcomes of the random variable with the probability of occurrence associated with each outcome.

Accepted Answer

This statement accurately defines a probability distribution for a discrete random variable.

Question 11

For a probability distribution for a discrete random variable,the sum of the probabilities must equal 1.

Accepted Answer

This is a defining property of a probability distribution for a discrete random variable. The sum of all the probabilities of the possible outcomes must equal 1.

Question 12

Instruction 5.2
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline & 0.1 & 0.2 & 0.4 & 0.1 & 0.0 & 0.0 \
P ( X ) & 0 & 0 & 5 & 5 & 5 & 5 \
\hline
\end{array}$$
-Referring to Instruction 5.2,the probability of at least one accident is ______.

Accepted Answer

The answer of Instruction 5.2
The following table contains the probability...

Question 13

A lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts.Prices for 100 rats follow the following distribution: Price: $10.00 $12.50 $15.00
Probability: 0.35 0.40 0.25
How much should the lab budget for next year's rat orders be,assuming this distribution does not change?

Accepted Answer

To calculate the expected value of the rat price, we use the formula:

Expected value = (price1 x probability1) + (price2 x probability2) + (price3 x probability3)

= (10 x 0.35) + (12.50 x 0.40) + (15 x 0.25)

= 3.5 + 5 + 3.75

= $12.25

Therefore, the lab should budget for:

100 rats/week x 52 weeks/year x $12.25/100 rats = $637.

Question 14

Instruction 5.1
The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a double satellite media.
 $$\begin{array} { | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 \
\hline p ( X ) & 0.35 & 0.35 & 0.25 & 0.05 \
\hline
\end{array}$$
-Referring to Instruction 5.1,the standard deviation of the number of retransmissions is ______.

Accepted Answer

The answer of Instruction 5.1
The following table contains the probability...

Question 15

Max wants to know how many pieces of mail he receives in 1 year.After recording the pieces of mail he receives every day for an entire year,Max calculates the total.The total number of pieces of mail he receives is a ______ variable.

Accepted Answer

The answer of Max wants to know how many pieces...

Question 16

Instruction 5.1
The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a double satellite media.
 $$\begin{array} { | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 \
\hline p ( X ) & 0.35 & 0.35 & 0.25 & 0.05 \
\hline
\end{array}$$
-Referring to Instruction 5.1,the probability of no retransmissions is ______.

Accepted Answer

The answer of Instruction 5.1
The following table contains the probability...

Question 17

Instruction 5.2
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline & 0.1 & 0.2 & 0.4 & 0.1 & 0.0 & 0.0 \
P ( X ) & 0 & 0 & 5 & 5 & 5 & 5 \
\hline
\end{array}$$
-Referring to Instruction 5.2,the standard deviation of the number of accidents is ______

Accepted Answer

The answer of Instruction 5.2
The following table contains the probability...

Question 18

A continuous variable has an outcome that arises from a counting process rather than a measuring process.

Accepted Answer

A continuous variable is one that can take on any value within a certain range, typically measured using a measuring process (e.g. weight, height). A variable that arises from a counting process is typically a discrete variable (e.g. number of siblings, number of cars owned).

Question 19

Instruction 5.1
The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a double satellite media.
 $$\begin{array} { | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 \
\hline p ( X ) & 0.35 & 0.35 & 0.25 & 0.05 \
\hline
\end{array}$$
-Referring to Instruction 5.1,the probability of at least one retransmission is ______

Accepted Answer

The answer of Instruction 5.1
The following table contains the probability...

Question 20

Instruction 5.1
The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a double satellite media.
 $$\begin{array} { | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 \
\hline p ( X ) & 0.35 & 0.35 & 0.25 & 0.05 \
\hline
\end{array}$$
-Referring to Instruction 5.1,the variance for the number of retransmissions is ______.

Accepted Answer

The answer of Instruction 5.1
The following table contains the probability...

Quiz 5: Some Important Discrete Probability Distributions

A probability distribution is an equation that

A lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts.Suppose the mean cost of rats used in lab experiments turned out to be $13.00 per week.Interpret this value.

The standard deviation of a discrete random variable is the square root of the______

Numerical variables are classified as either discrete or continuous.

The variance of a discrete random variable is directly related to the standard deviation.

A probability distribution for a discrete random variable is a mutually exclusive list of all possible numerical outcomes of the random variable with the probability of occurrence associated with each outcome.

For a probability distribution for a discrete random variable,the sum of the probabilities must equal 1.

Max wants to know how many pieces of mail he receives in 1 year.After recording the pieces of mail he receives every day for an entire year,Max calculates the total.The total number of pieces of mail he receives is a ______ variable.

A continuous variable has an outcome that arises from a counting process rather than a measuring process.