Question

Please show all work/steps on how to solve these. The correct answers are shown in the screenshot, but I need to have the work/steps for each of these that lead to the correct answer. Thank you.

X 5.3.18 Question is graded. A computer can be classified as either cutting-edge or ancient. Suppose that 97% of computers are classified as ancient. (a) Two computers are chosen at random. What is the probability that both computers are ancient? (b) Five computers are chosen at random. What is the probability that all five computers are ancient? (c) What is the probability that at least one of five randomly selected computers is cutting-edge? Would it be unusual that at least one of five randomly selected computers is cutting-edge? (a) Two computers are chosen at random. What is the probability that both computers are ancient? The probability is 0.9409 (Round to four decimal places as needed.) (b) Five computers are chosen at random. What is the probability that all five computers are ancient? The probability is 0.8587 (Round to four decimal places as needed.) (c) What is the probability that at least one of five randomly selected computers is cutting-edge? The probability is 0.1413 (Round to four decimal places as needed.) Would it be unusual that at least one of five randomly selected computers is cutting-edge? It would not be unusual that at least one of five randomly selected computers is cutting-edge.

Answer 1

Plancient)= 97% = 0.97 Xr Binomial Distribution (n.pl Parameter n=2 ,p=0.97 P(X=2) = ne p" (Imponudi 725 (0.97. 310.033° = 10.972 P( Both are ancient) = o. guog Parameter n=5 , P=0.97 P(x=5)= P*(1-P)?- = 5c 10.9735 (0.03) = 0.8587 16 Parameter n=5, P=0.97 P(X), 1) = 1 - P(X(1) = 1 - P(x=0)

PLX=0)- " PAP (1-P)* = Sc (0.97)º(0.03) = 0.00000002 Plx>,)) = 1-0.00000002 P(x>,12 = 0.9999) Please like.