Question: Please can you help me! I'm really really confused :( (a) Let X be a discrete random variable with range {1,0, 1} and probabilities P(X

Please can you help me! I'm really really confused :(

(a) Let X be a discrete random variable with range {1,0, 1} and probabilities P(X = 1)= 0.2, P(X = 0) = 0.5, and P(X =1): 0.3. Compute E(X2). (5) (b) We toss afair coin and let X = 1 if we get heads, X = 1 if we get tails. Find the variance of X. (5) (c) Suppose that a fair die is rolled once. Let X be the resulting number. Find the mean and standard deviation of X. (10) (d) Suppose 40% nurses at hospital are in favor of a ban on drinking alcohol. Suppose 5 nurses are to be randomly sampled. Find the probability that (i) 2 favor the ban, (3) (ii) less than 4 favor the ban, (3) (iii) at least I favor the ban. (4)

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