1. The mean incubation time for a type of fertilized egg kept at 100.9°F 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 randomly selected fertilized egg hatches in less than 18 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 takes over 26 days to hatch?

2. Use the normal distribution of SAT critical reading scores for which the mean is 500 and the standard deviation is 111. Assume the variable x is normally distributed.

(a) What percent of the SAT verbal scores are less than 600?

(b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525?

3. A population has a mean = 74 and a standard deviation sigma=32. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 64.

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