Question 1

Another name for the mean of a probability distribution is its expected value.

Accepted Answer

This is true. The expected value of a probability distribution is the same as the mean.

Question 2

Instruction 5-4
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline P ( X ) & 0.10 & 0.20 & 0.45 & 0.15 & 0.05 & 0.05 \
\hline
\end{array}$$
-Referring to Instruction 5-4,the mean or expected value of the number of accidents is ________.

Accepted Answer

2.0

Question 3

Instruction 6-7
A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15.
-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?
A)$780
B)$650
C)$520
D)$637

Accepted Answer

The lab orders 100 rats a week for 52 weeks, which means they will order a total of 5200 rats in a year. To calculate the budget, we need to find the expected cost per rat:
Expected cost per rat = ($10.00 x 0.35) + ($12.50 x 0.40) + ($15.00 x 0.25) = $3.50 + $5.00 + $3.75 = $12.25
Therefore, the lab should budget for next year's rat orders as follows:
Budget = (Number of rats) x (Expected cost per rat) = 5200 x $12.25 = $63,500
The closest option is D) $637, but it is off by a factor of 100. Therefore, we need to move the decimal point two places to the left to get the answer in dollars, which gives us $637.

Question 4

Numerical variables are classified as either discrete or continuous.

Accepted Answer

Numerical variables can be classified into two types: discrete and continuous. Discrete variables can only take whole, fixed values, while continuous variables can take on any value within a certain range.

Question 5

Instruction 5-3
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 5-3,the mean or expected value for the number of retransmissions is ________.

Accepted Answer

The answer of Instruction 5-3
The following table contains the probability...

Question 6

Instruction 5-3
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 5-3,the variance for the number of retransmissions is ________.

Accepted Answer

The answer of Instruction 5-3
The following table contains the probability...

Question 7

Instruction 5-4
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline P ( X ) & 0.10 & 0.20 & 0.45 & 0.15 & 0.05 & 0.05 \
\hline
\end{array}$$
-Referring to Instruction 5-4,the probability of 3 accidents is ________.

Accepted Answer

The answer of Instruction 5-4
The following table contains the probability...

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 5-5
There are two houses with almost identical characteristics available for investment in two different neighbourhoods with drastically different demographic composition.The anticipated gain in value when the houses are sold in 10 years has the following probability distribution:
Returns
 $$\begin{array} { | c | c | c | } 
\hline \text { Probability } & \text { Neighbourhood A } & \text { Neighbourhood B } \
\hline .25 & - \$ 22,500 & \$ 30,500 \
\hline .40 & \$ 10,000 & \$ 25,000 \
\hline .35 & \$ 40,500 & \$ 10,500 \
\hline
\end{array}$$
-Referring to Instruction 5-5,what is the expected value gain for the house in neighbourhood B?

Accepted Answer

The answer of Instruction 5-5
There are two houses with almost...

Question 10

Instruction 5-4
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline P ( X ) & 0.10 & 0.20 & 0.45 & 0.15 & 0.05 & 0.05 \
\hline
\end{array}$$
-Referring to Instruction 5-4,the standard deviation of the number of accidents is ________.

Accepted Answer

The answer of Instruction 5-4
The following table contains the probability...

Question 11

Instruction 5-5
There are two houses with almost identical characteristics available for investment in two different neighbourhoods with drastically different demographic composition.The anticipated gain in value when the houses are sold in 10 years has the following probability distribution:
Returns
 $$\begin{array} { | c | c | c | } 
\hline \text { Probability } & \text { Neighbourhood A } & \text { Neighbourhood B } \
\hline .25 & - \$ 22,500 & \$ 30,500 \
\hline .40 & \$ 10,000 & \$ 25,000 \
\hline .35 & \$ 40,500 & \$ 10,500 \
\hline
\end{array}$$
-Referring to Instruction 5-5,what is the expected value gain if you invest in both houses?

Accepted Answer

The answer of Instruction 5-5
There are two houses with almost...

Question 12

Instruction 5-4
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline P ( X ) & 0.10 & 0.20 & 0.45 & 0.15 & 0.05 & 0.05 \
\hline
\end{array}$$
-Referring to Instruction 5-4,the variance of the number of accidents is ________.

Accepted Answer

The answer of Instruction 5-4
The following table contains the probability...

Question 13

Instruction 5-4
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline P ( X ) & 0.10 & 0.20 & 0.45 & 0.15 & 0.05 & 0.05 \
\hline
\end{array}$$
-The standard deviation of a discrete random variable is the square root of the ________.

Accepted Answer

The answer of Instruction 5-4
The following table contains the probability...

Question 14

Instruction 6-7
A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15.
-A probability distribution is an equation that
A)assigns a value to the centre of the sample space.
B)assigns a value to the variability in the sample space.
C)measures outcomes and assigns values of X to the simple events.
D)associates a particular probability of occurrence with each outcome in the sample space.

Accepted Answer

A probability distribution associates a particular probability of occurrence with each outcome in the sample space. It measures the probability of each possible outcome or event in the sample space.

Question 15

Instruction 5-3
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 5-3,the probability of at least one retransmission is ________.

Accepted Answer

The answer of Instruction 5-3
The following table contains the probability...

Question 16

Instruction 6-7
A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15.
-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.
A)Most of the weeks resulted in rat costs of $13.00.
B)The expected or average cost for all weekly rat purchases is $13.00.
C)The median cost for the distribution of rat costs is $13.00.
D)The rat cost that occurs more often than any other is $13.00.

Accepted Answer

The mean (average) cost of rats used in lab experiments being $13.00 per week indicates that this is the expected cost for each week of the year.

Question 17

Instruction 5-5
There are two houses with almost identical characteristics available for investment in two different neighbourhoods with drastically different demographic composition.The anticipated gain in value when the houses are sold in 10 years has the following probability distribution:
Returns
 $$\begin{array} { | c | c | c | } 
\hline \text { Probability } & \text { Neighbourhood A } & \text { Neighbourhood B } \
\hline .25 & - \$ 22,500 & \$ 30,500 \
\hline .40 & \$ 10,000 & \$ 25,000 \
\hline .35 & \$ 40,500 & \$ 10,500 \
\hline
\end{array}$$
-Referring to Instruction 5-5,what is the expected value gain for the house in neighbourhood A?

Accepted Answer

The answer of Instruction 5-5
There are two houses with almost...

Question 18

Instruction 5-3
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 5-3,the probability of no retransmissions is ________.

Accepted Answer

The answer of Instruction 5-3
The following table contains the probability...

Question 19

Instruction 5-4
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in Perth.
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline P ( X ) & 0.10 & 0.20 & 0.45 & 0.15 & 0.05 & 0.05 \
\hline
\end{array}$$
-Referring to Instruction 5-4,the probability of at least 1 accident is ________.

Accepted Answer

The answer of Instruction 5-4
The following table contains the probability...

Question 20

Instruction 5-3
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 5-3,the standard deviation of the number of retransmissions is ________.

Accepted Answer

The answer of Instruction 5-3
The following table contains the probability...

Quiz 5: Some Important Discrete Probability Distributions

Another name for the mean of a probability distribution is its expected value.

Numerical variables are classified as either discrete or continuous.

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

Instruction 6-7 A company has 125 personal computers.The probability that any one of them will require repair on a given day is 0.15. -A probability distribution is an equation that