Q-'l Use n =10 and p = 0.9 to complete parts {a} through {d} below. (a) Construct a binomial probability distribution with the given parameters. x Ptx) x Pix) 0 j 6 C 1 j 7 C 2 j 8 C 3 j 9 C 4 j 10 C 5 1 (Round to four decimal places as needed.) lb} Compute the mean and standard deviation of the random variable using [1): = 2pc. PM] and ox = '2 [x2 - P(x}] - pi . [1x = {Round to two decimal places as needed.) \"X = {Round to two decimal places as needed.) to) Compute the mean and standard deviation. using px = hp and ox = 1i'np(1 - p). ox = - (Round to two decimal places as needed.) ox = {Round to two decimal places as needed.) {d} Draw a graph of the probability distribution and comment on its shape. [at The binomial probability distribution is Q #2 For a multistate lottery, the following probability x (cash prize, $) P(x) distribution represents the cash prizes of the lottery Grand prize 0.00000000758 with their corresponding probabilities. Complete parts 200,000 0.00000017 (a) through (c) below. 10,000 0.000001505 100 0.000171517 7 0.004111593 0.008420299 0.01495558 0 0.97233932842 (a) If the grand prize is $14,000,000, find and interpret the expected cash prize. If a ticket costs $1, what is your expected profit from one ticket? The expected cash prize is $ . (Round to the nearest cent as needed.) (b) To the nearest million, how much should the grand prize be so that you can expect a profit? (c) Does the size of the grand prize affect your chance of winning? Explain. O A. Yes, because your expected profit increases as the grand prize increases. O B. No, because the expected profit is always $0 no matter what the grand prize is. C. No, because your chance of winning is determined by the properties of the lottery, not the payouts