Question

The mean incubation time for a type of fertilized egg kept at a certain temperature is 17days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1day.

A. Find and interpret the probability that a randomly selected fertilized egg hatches in less than 16 days is? Round to 4 decimal places

B. Find and interpret the probability that a randomly selected fertilized egg takes over 18 days to hatch? Round to 4decimal places

C. Find and interpret that a randomly selected fertilized egg hatches between 15 and 17 days?

D. Would it unusual for an egg to hatch in less than 14 days . The probability of an egg hatching in less than 14 days is?

Answer 1

Let X denotes the incubation time for a type of fertilized egg kept at a certain temperature.

Approximately,

a) The probability that a randomly selected fertilized egg hatches in less than 16 days

b) The  probability that a randomly selected fertilized egg takes over 18 days to hatch

c) The probability that a randomly selected fertilized egg between 15 and 17 days

d) The probability that a randomly selected fertilized egg hatches in less than 14 days

Since the probability is a quite small value, we can say it is unusual for an egg to hatch in less than 14 days.