Concept explainers
a.
Calculate the mean, variance, and standard deviation for the given random variable W.
a.
Answer to Problem 20P
The mean of the random variable
The variance of the random variable
The standard deviation of the random variable
Explanation of Solution
Calculation:
Let W be the random variable defined as the total time to examine and repair the computer
Here,
The mean of the random variable is calculated as given below:
Thus, the mean of the random variable
The variance of the random variable is calculated as given below:
Thus, the variance of the random variable
The standard deviation of the random variable is calculated as given below:
Thus, the standard deviation of the random variable
b.
Calculate the mean, variance, and standard deviation for the given random variable W.
b.
Answer to Problem 20P
The mean of the random variable
The variance of the random variable
The standard deviation of the random variable
Explanation of Solution
Calculation:
Let W be the random variable defined as the service charges
Here,
The mean of the random variable is calculated as given below:
Thus, the mean of the random variable
The variance of the random variable is calculated as given below:
Thus, the variance of the random variable
The standard deviation of the random variable is calculated as given below:
Thus, the standard deviation of the random variable
c.
Calculate the mean, variance, and standard deviation for the given random variable L.
c.
Answer to Problem 20P
The mean of the random variable
The variance of the random variable
The standard deviation of the random variable
Explanation of Solution
Calculation:
Let L be the random variable defined as the charges
Here,
The mean of the random variable is calculated as given below:
Thus, the mean of the random variable
The variance of the random variable is calculated as given below:
Thus, the variance of the random variable
The standard deviation of the random variable is calculated as given below:
Thus, the standard deviation of the random variable
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Chapter 5 Solutions
Understandable Statistics: Concepts and Methods
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