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# The mean incubation time for a type of fertilized egg kept at a certain

temperature is days. Suppose that the incubation times are approximately normally distributed with a standard deviation of . Complete parts? (a) through? (e) below. ?
Part (a) Draw a normal model that describes egg incubation times of these fertilized eggs. ?
Part (b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than days. The probability that a randomly selected fertilized egg hatches in less than 16 days is ____. ?(Round to four decimal places as? needed.)
Interpret this probability. Select the correct choice below and fill in the answer box?(Round to the nearest integer as?needed.)
A. If 100 fertilized eggs were randomly? selected, exactly ____ would be expected to hatch on day 16 .
B. If 100 fertilized eggs were randomly? selected, ____of them would be expected to hatch in less than 16 days.
C. In every group of 100 fertilized? eggs, ____ eggs would be expected to hatch in less than 16 days.
Part ?(c) Find and interpret the probability that a randomly selected fertilized egg takes over 18 days to hatch. The probability that a randomly selected fertilized egg takes over days to hatch is ____. ?(Round to four decimal places as? needed.)
Interpret this probability. Select the correct choice below and fill in the answer box ?(Round to the nearest integer as?needed.)
A. If 100 fertilized eggs were randomly? selected, exactly ____ would be expected to hatch on day 18.
B. If 100 fertilized eggs were randomly? selected, ____ of them would be expected to take more than 18 days to hatch.
C. In every group of 100 fertilized? eggs, ____ eggs would be expected to hatch in more than 18 days. ?
Part (d) Find and interpret the probability that a randomly selected fertilized egg hatches between and days. The probability that a randomly selected fertilized egg hatches between and days is nothing. ?(Round to four decimal places as? needed.)
Interpret this probability. Select the correct choice below and fill in the answer box. ?(Round to the nearest integer as?needed.)
A. If 100 fertilized eggs were randomly? selected, ____ of them would be expected to hatch between 15 and 17 days.
B. In every group of 100 fertilized? eggs, ____ eggs would be expected to hatch between 15 and 17 days.
C. If 100 fertilized eggs were randomly? selected, exactly ____ would be expected to hatch on day 15 or on day 17. ?
Part (e) Would it be unusual for an egg to hatch in less than?days? Why? The probability of an egg hatching in less than days is ____?, so it ____ (would or would not) be?unusual, since the probability is ____ (less or greater) than 0.05. ?(Round to four decimal places as?needed.)