. Oliver is a first-year university student who likes to spend his free time playing videogames. Let X be the number of times per week he plays videogames. The following is the probability mass function for X. 0 |1 | 2 P(X=x) 0.25 0.6 0.15 Note that the number of times Oliver plays videogame is independent from week to week. A. Find the sampling distribution of the mean of two randomly selected weeks. B. Find the expected value and the variance of the sample mean of two randomly selected weeks. C. If 32 weeks are randomly selected, what is the probability that the average number of times that Oliver plays videogames is less than 1.5?

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3. Oliver is a first-year university student who likes to spend his free time playing videogames. Let X
be the number of times per week he plays videogames. The following is the probability mass
function for X.
0 1 | 2
P(X=x) 0.25 0.6 0.15
Note that the number of times Oliver plays videogame is independent from week to week.
A. Find the sampling distribution of the mean of two randomly selected weeks.
B. Find the expected value and the variance of the sample mean of two randomly selected weeks.
C. If 32 weeks are randomly selected, what is the probability that the average number of times that
Oliver plays videogames is less than 1.5?
Transcribed Image Text:3. Oliver is a first-year university student who likes to spend his free time playing videogames. Let X be the number of times per week he plays videogames. The following is the probability mass function for X. 0 1 | 2 P(X=x) 0.25 0.6 0.15 Note that the number of times Oliver plays videogame is independent from week to week. A. Find the sampling distribution of the mean of two randomly selected weeks. B. Find the expected value and the variance of the sample mean of two randomly selected weeks. C. If 32 weeks are randomly selected, what is the probability that the average number of times that Oliver plays videogames is less than 1.5?
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