Please show your work!

9; (bl Seven thousand lottery tickets are sold for $5 each. One ticket will win $2.000. two tickets will win $750 each. and ve tickets will win $100 each. Let X denote the net gain from the purchase of a randomly selected ticket. (i). Construct the probability distribution of X m (iii). Compute the expected value E00 of X and interpret it's meaning. Soln. (iv). Compute the standard deviation 0 of X and interpret it's