iPad? 9:37 PM * 24%) In Hawaii shark attacks are very rare. Furthermore, about 5
ID: 3366135 • Letter: I
Question
iPad? 9:37 PM * 24%) In Hawaii shark attacks are very rare. Furthermore, about 55% of all shark attacks are serious, but not fatal.? You are scheduled to give a talk at a local scuba club in Honolulu and want to include a brief statistical profile regarding the most recent nine shark attacks, all of which were nonfatal. Let r be the number of nonfatal attacks out of a random sample of nine shark attacks (a) Make a histogram for the probability distribution of r 0.25 0.20 015 0.10 0.05 0.25 0.20 0.05 0.25 0.20 0.15 0.25 0.20 015 0.10 0 05 (b) What is the probability all nine shark attacks are nonfatal? (Round your answer to three decimal places) (c) What is the probability that seven or more of the nine shark attacks are nonfata? (Round your answer to three decimal places.) (d) What is the expected number of nonfatal shark attacks out of the nine? What is the standard deviation of the r-probability distribution? (Round your answer to three decimal places.) Need Help? Rest 24. -2 points My Notes Ask Your The Orchard Cafe has found that about 20% of the diners who make reservations don't show up. If 76 reservations have been made, how many diners can be expected to show up? Find the standard deviation of this distribution. (Round your answers to two decimal places.) Need Help? ReetNExplanation / Answer
23 Solution:- Given that p = 0.55, n = 9
(a) option (B)
(b) P(x = 9) = 9C9*0.55^9*0.45*0 = 0.0046
(c) P(X >= 7) = 0.1495
(d) Expected number of nonfatal number of attack = 9 * 0.55 = 4.95
(e) standard deviation of probability distribution = sqrt (9 * 0.45 * 0.55) = 1.4925
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24.
? = n*p = 76*0.20 = 15.2
? = sqrt(n*p*q) = sqrt(76*0.20*0.80) = 3.49
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