Question 1

NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates the probability distribution of the number of stores shoppers actually enter as shown in the table below. $$\begin{array} { | c | c c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 & 4 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.35 & 0.25 & \square .20 & 0.15 \
\hline
\end{array}$$ NARREND
-{Shopping Outlet Narrative} Calculate the expected value of Y directly from the probability distribution of Y.

Accepted Answer

The answer of NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates...

Question 2

NARRBEGIN: Gym Visits
Gym Visits
Let X represent the number of times a student visits a gym in a one month period. Assume that the probability distribution of X is as follows:
 $$\begin{array} { | c | c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.25 & 0.50 & 0.20 \
\hline
\end{array}$$ NARREND
-{Gym Visits Narrative} Find the mean and the standard deviation of Y = 2X - 1.

Accepted Answer

The answer of NARRBEGIN: Gym Visits
Gym Visits
Let X represent the...

Question 3

NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates the probability distribution of the number of stores shoppers actually enter as shown in the table below. $$\begin{array} { | c | c c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 & 4 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.35 & 0.25 & \square .20 & 0.15 \
\hline
\end{array}$$ NARREND
-{Shopping Outlet Narrative} Use the laws of variance to calculate the variance and standard deviation of Y from the probability distribution of X.

Accepted Answer

The answer of NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates...

Question 4

NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates the probability distribution of the number of stores shoppers actually enter as shown in the table below. $$\begin{array} { | c | c c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 & 4 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.35 & 0.25 & \square .20 & 0.15 \
\hline
\end{array}$$ NARREND
-{Shopping Outlet Narrative} Find the expected value of the number of stores entered.

Accepted Answer

The answer of NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates...

Question 5

NARRBEGIN: Gym Visits
Gym Visits
Let X represent the number of times a student visits a gym in a one month period. Assume that the probability distribution of X is as follows:
 $$\begin{array} { | c | c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.25 & 0.50 & 0.20 \
\hline
\end{array}$$ NARREND
-{Gym Visits Narrative} What is the probability that the student visits the gym at least once in a month?

Accepted Answer

The answer of NARRBEGIN: Gym Visits
Gym Visits
Let X represent the...

Question 6

NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates the probability distribution of the number of stores shoppers actually enter as shown in the table below. $$\begin{array} { | c | c c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 & 4 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.35 & 0.25 & \square .20 & 0.15 \
\hline
\end{array}$$ NARREND
-{Shopping Outlet Narrative} Find the variance and standard deviation of the number of stores entered.

Accepted Answer

The answer of NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates...

Question 7

NARRBEGIN: Retries
Retries
The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media. $$\begin{array} { | c | c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.35 & 0.35 & 0.25 & 0.05 \
\hline
\end{array}$$ NARREND
-{Retries Narrative} What is the mean or expected value for the number of retries?

Accepted Answer

The answer of NARRBEGIN: Retries
Retries
The following table contains the probability...

Question 8

NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates the probability distribution of the number of stores shoppers actually enter as shown in the table below. $$\begin{array} { | c | c c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 & 4 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.35 & 0.25 & \square .20 & 0.15 \
\hline
\end{array}$$ NARREND
-{Shopping Outlet Narrative} Calculate the variance and standard deviation of Y directly from the probability distribution of Y.

Accepted Answer

The answer of NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates...

Question 9

NARRBEGIN: Retries
Retries
The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media. $$\begin{array} { | c | c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.35 & 0.35 & 0.25 & 0.05 \
\hline
\end{array}$$ NARREND
-{Retries Narrative} What is the probability of no retries?

Accepted Answer

The answer of NARRBEGIN: Retries
Retries
The following table contains the probability...

Question 10

NARRBEGIN: Retries
Retries
The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media. $$\begin{array} { | c | c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.35 & 0.35 & 0.25 & 0.05 \
\hline
\end{array}$$ NARREND
-{Retries Narrative} What is the variance for the number of retries?

Accepted Answer

The answer of NARRBEGIN: Retries
Retries
The following table contains the probability...

Question 11

NARRBEGIN: Retries
Retries
The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media. $$\begin{array} { | c | c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.35 & 0.35 & 0.25 & 0.05 \
\hline
\end{array}$$ NARREND
-{Retries Narrative} What is the probability of a least one retry?

Accepted Answer

The answer of NARRBEGIN: Retries
Retries
The following table contains the probability...

Question 12

NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates the probability distribution of the number of stores shoppers actually enter as shown in the table below. $$\begin{array} { | c | c c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 & 4 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.35 & 0.25 & \square .20 & 0.15 \
\hline
\end{array}$$ NARREND
-{Shopping Outlet Narrative} What did you notice about the mean, variance, and standard deviation of Y = 2X + 1 in terms of the mean, variance, and standard deviation of X?

Accepted Answer

The answer of NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates...

Question 13

NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates the probability distribution of the number of stores shoppers actually enter as shown in the table below. $$\begin{array} { | c | c c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 & 4 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.35 & 0.25 & \square .20 & 0.15 \
\hline
\end{array}$$ NARREND
-{Shopping Outlet Narrative} Use the laws of expected value to calculate the mean of Y from the probability distribution of X.

Accepted Answer

The answer of NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates...

Question 14

NARRBEGIN: Gym Visits
Gym Visits
Let X represent the number of times a student visits a gym in a one month period. Assume that the probability distribution of X is as follows:
 $$\begin{array} { | c | c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.25 & 0.50 & 0.20 \
\hline
\end{array}$$ NARREND
-The monthly sales at a Gas Station have a mean of $50,000 and a standard deviation of $6,000. Profits are calculated by multiplying sales by 40% and subtracting fixed costs of $12,000. Find the mean and standard deviation of monthly profits.

Accepted Answer

The answer of NARRBEGIN: Gym Visits
Gym Visits
Let X represent the...

Question 15

NARRBEGIN: Gym Visits
Gym Visits
Let X represent the number of times a student visits a gym in a one month period. Assume that the probability distribution of X is as follows:
 $$\begin{array} { | c | c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.25 & 0.50 & 0.20 \
\hline
\end{array}$$ NARREND
-{Gym Visits Narrative} What is the probability that the student visits the gym at most twice in a month?

Accepted Answer

The answer of NARRBEGIN: Gym Visits
Gym Visits
Let X represent the...

Question 16

NARRBEGIN: Retries
Retries
The following table contains the probability distribution for X = the number of retries necessary to successfully transmit a 1024K data package through a double satellite media. $$\begin{array} { | c | c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.35 & 0.35 & 0.25 & 0.05 \
\hline
\end{array}$$ NARREND
-{Retries Narrative} What is the standard deviation of the number of retries?

Accepted Answer

The answer of NARRBEGIN: Retries
Retries
The following table contains the probability...

Question 17

NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates the probability distribution of the number of stores shoppers actually enter as shown in the table below. $$\begin{array} { | c | c c c c c | } 
\hline \boldsymbol { x } & 0 & 1 & 2 & 3 & 4 \
\hline \boldsymbol { p } ( \boldsymbol { x } ) & 0.05 & 0.35 & 0.25 & \square .20 & 0.15 \
\hline
\end{array}$$ NARREND
-{Shopping Outlet Narrative} Suppose Y = 2X + 1 for each value of X. What is the probability distribution of Y?

Accepted Answer

The answer of NARRBEGIN: Shopping Outlet
Shopping Outlet
A shopping outlet estimates...

Quiz 7: Random Variables and Discrete Probability Distributions