The mean incubation time for a type of fertilized egg kept at a certain temperature is 16 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days.

Find and interpret the probability that a randomly selected fertilized egg hatches in less than 12 days.

The probability that a randomly selected fertilized egg hatches in less than 12 days is ___.

(Round to four decimal places asneeded.)

Interpret this probability. Select the correct choice below and fill in the answer box

A.

The average proportion of the way to hatching of all eggs fertilized in the past 12 days is ___.

(Round to two decimal places asneeded.)

B.

If 100 fertilized eggs were randomlyselected, ___of them would be expected to hatch in less than 12 days.

(Round to the nearest integer asneeded.)

C.

In every group of 100 fertilizedeggs, ___eggs will hatch in less than 12 days.

(Round to the nearest integer asneeded.)

(c) Find and interpret the probability that a randomly selected fertilized egg takes over 20 days to hatch.

The probability that a randomly selected fertilized egg takes over 20 days to hatch is ____.

(Round to four decimal places asneeded.)

Interpret this probability. Select the correct choice below and fill in the answer box

A.

If 100 fertilized eggs were randomlyselected, ____of them would be expected to take more than 20 days to hatch.

(Round to the nearest integer asneeded.)

B.

In every group of 100 fertilizedeggs, ____eggs will hatch in more than 20 days.

(Round to the nearest integer asneeded.)

C.

The average proportion of the way to hatching of all eggs fertilized more than 20 days ago is ____.

(Round to two decimal places asneeded.)

(d) Find and interpret the probability that a randomly selected fertilized egg hatches between 14 and 16 days.

The probability that a randomly selected fertilized egg hatches between 14 and 16 days is ____.

(Round to four decimal places asneeded.)

Interpret this probability. Select the correct choice below and fill in the answer box

A.

If 100 fertilized eggs were randomlyselected, ____ of them would be expected to hatch between 14 and 16 days.

(Round to the nearest integer asneeded.)

B.

The average proportion of the way to hatching of all eggs fertilized between 14 and 16 days is ____.

(Round to two decimal places asneeded.)

C.

In every group of 100 fertilizedeggs, ____ eggs will hatch between 14 and 16 days.

(Round to the nearest integer asneeded.)

(e) Would it be unusual for an egg to hatch in less than 10 days? Why?

The probability of an egg hatching in less than 10 days is ___ so it would or would not(which one) beunusual, since the probability is less or greater(which one) than 0.05.