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This task needs to be tackled by a statistic expert. Please provide only accurate answer! We asked 6 students how many times they rebooted their

This task needs to be tackled by a statistic expert. Please provide only accurate answer!

We asked 6 students how many times they rebooted their computers last week. There were 4 Mac users and 2 PC users. The PC users rebooted 2 and 3 times. The Mac users rebooted 1, 2, 2 and 8 times. Let C be a Bernoulli random variable representing the type of computer of a randomly chosen student (Mac = 0, PC = 1). Let R be the number of times a randomly chosen student rebooted (so R takes values 1,2,3,8).

(a) Create joint probability table for C and R. Be sure to include the marginal probability mass functions.

(b) Compute E(C) and E(R).

(c) Determine the covariance of C and R and explain its significance for how C and R are related. (A one sentence explanation is all that's called for.) Are R and C independent?

(d) Independently choose a random Mac user and a random PC user. Let M be the number of reboots for the Mac user and W the number of reboots for the PC user.

(i) Create table of the joint probability distribution of M and W, including the marginal probability mass functions.

(ii) Calculate P(W > M).

(iii) What is the correlation between W and M?

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