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13. The mean incubation time for a type of fertilized egg kept at a certain temp

ID: 3362473 • Letter: 1

Question

13. The mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (e) below.

(c) Find and interpret the probability that a randomly selected fertilized egg takes over 27 days to hatch.

The probability that a randomly selected fertilized egg takes over 27 days to hatch is __?__. (Round to four decimal places as needed.)

MULTIPLE CHOICE

A. In every group of 100 fertilized eggs, __?__ eggs will hatch in more than 27 days. (Round to the nearest integer as needed.)

B. The average proportion of the way to hatching of all eggs fertilized more than 27 days ago is ___?___

(Round to two decimal places as needed.)

C. If 100 fertilized eggs were randomly selected, __?__ of them would be expected to take more than 27 days to hatch. (Round to the nearest integer as needed.)

Explanation / Answer

c) P(X > 27)

= P(z > (27 - 25)/1)

= P(z > 2)

= 0.0228

Option C; If 100 fertilized eggs were randomly selected, 2 of them would be expected to take more than 27 days to hatch

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