Score: 0 of 3 pts 2? of 29 (7 complete 5.2.11 The mean incubation time for a typ

Question

Score: 0 of 3 pts 2? of 29 (7 complete 5.2.11 The mean incubation time for a type of fertized ep kept at 100.9fF is 22 days, Suppose that the inoubtion times are aproximately nomaly distrbuted with standard deviasion of i day (a) What is the probability that a randomly selected fertilized egg hatches in less than 21 days? (b) What is the probability that a randomly selected fertilized egg hatches between 20 and 22 days? (c) What is the probability that a randomly selected fertilized egg takos over 23 days to hatch? (a) The probability that a randomly selected fertlized egg hatches in less than 21 days is (Round to four decimal places as needed) click Check Answer Enter your answer in the anower box and then parts remeining 0

Explanation / Answer

a) z score for 21 = (21 - 22)/1 = -1

Hence,

P(X < 21) = P(z < -1) = 0.1587

b) z score for 20 = (20 - 22)/1 = -2

z score for 22 = (22 - 22)/1 = 0

Hence,

P(20 < X < 22) = P(-2 < z < 0) = 0.4772

c) z score for 23 = (23 - 22)/1 = 1

Hence,

P(X > 23) = P(z > 1) = 0.1587

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