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Cin Into to Probability and Statistics (08 37314) Test: Test #2(Chp. 4-Chp. 6) T

ID: 3065830 • Letter: C

Question

Cin Into to Probability and Statistics (08 37314) Test: Test #2(Chp. 4-Chp. 6) This Question: 1 pt 12 of 42 In a region, there is a 0.196 probability chance that a randomly selected person of the population has brown ayes. Assume 15 people ane randomly solected. Complete parts (a) through (d) below a Find the probability that all of the selected people have brown eyes The probability that all of the 15 selected people have brown eyes is allof the 15 selected people have beowm ayes Round to theee decimal places as needed) b.Find the probablity that exactly 14 of the selected people have brown eyes The probability that exactly 14 of the selected,people have brown eyes io Round to three decimal places as eeded) e. Find the probability that the number of selected people that have brown eyes is 13 or more The probability thut the number of selected people that have brown eyes is 13 or more is Round to three decimal places as needed) d. 15 people are randomly selected, is 13 an unusualy high number for those with brown eyes OA No, because the probability that 13 or more of the selected people have brown eyes is less than 0.0 BNo, because the probablity hat 13 or more of the selected people have brown eyes is greaber than 0.05 OC. Yes, because the probability hat 13 or more of the salected people have brown eyes is less than 0 06 O D. Yes, because the probability that 13 or more of the selected people have brown eyes is greaer than .06 More Cick to seliect your answe

Explanation / Answer

n = 15

p = 0.95

P(X = x) = nCx * px * (1 - p)n - x

a) P(X = 15) = 15C15 * (0.95)^15 * (0.05)^0 = 0.463

b) P(X = 14) = 15C14 * (0.95)^14 * (0.05)^1 = 0.366

c) P(X > 13) = P(X = 13) + P(X = 14) + P(X = 15)

                    = 15C13 * (0.95)^13 * (0.05)^2 + 15C14 * (0.95)^14 * (0.05)^1 + 15C15 * (0.95)^15 * (0.05)^0 = 0.964

d) Option - B

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