SOLUTION: The mean incubation time for a type of fertilized egg kept at 100.6 degrees Fahrenheit is 22 days. Suppose that the incubation times are approximately normally distributed with a s

Question 1043029: The mean incubation time for a type of fertilized egg kept at 100.6 degrees Fahrenheit is 22 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days.
A) What is the probability that a random selected fertilized egg hatches in less than 20 days? Round to four decimal places as needed.
B) What is the probability that a randomly selected fertilized egg hatches between 18-22 days? Round to four decimal places as needed.
C) What is the probability that a randomly selected fertilized egg takes over 24 days to hatch? Round to four decimal places as needed.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The z-valueis (x-mean)/sd
Less than 20 days is (20-22)/2=-1, and it is the probability z is less than -1 or 0.1587.
Between 18 and 22 days is z between -2 and 0, and that is 0.4772.
More than 24 days is z >1, and that is the same as z<-1, or 0.1587.

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