The mean incubation time for a type of fertilized egg kept at 100.5 degrees is 2
ID: 2450661 • Letter: T
Question
The mean incubation time for a type of fertilized egg kept at 100.5 degrees is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. A. What is the probability that a randomly selected fertilized egg hatches in less than 22 days? (round to 4 decimals) B. What is the probability that a randomnly selected fertilized egg takes over 24 days to hatch (round to 4 decimals) C. What is the probability that a randomly selected fertilized egg hatches between 21 and 23 days? (4 decimals) D. Would i be unusual for an egg to hatch in less than 20.5 days? Why?
Explanation / Answer
a
Given mean=23 day and std=1 day
Z=(x-mean)/std
a)Use Norms.dist function in excel for x<23 days
NORM.DIST(22,23,1,1)=15.8655%
b)Use Norms.dist function in excel for x>24 days
NORM.DIST(24,23,1,1)=84.1345%
1-84.1345%=15.8655%
c)Use Norms.dist function in excel for x between 21 and 23 days
Norms.dist(23,23,1,1)-norms.dist(21,23,1,1)=47.725%
d)when x less than 20.5 days
Norms.dist(20.5,23,1,1)=0.621%
this is the least possibility case.
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