(iii) Five thousand lottery tickets are sold for $1 each. One ticket will win $1000, two tickets will win $500 each, and
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(iii) Five thousand lottery tickets are sold for $1 each. One ticket will win $1000, two tickets will win $500 each, and
(iii) Five thousand lottery tickets are sold for $1 each. One ticket will win $1000, two tickets will win $500 each, and ten tickets will win $100 each. Let X denote the net gain from the purchase of a randomly selected ticket. (a) Construct the probability distribution of X. (b) Find the expected value of X. (C) Find the variance of x.