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Mathematics, 11.03.2020 01:51 cheyenneperuchi
The mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through(e) below.
(a) Draw a normal model that describes egg incubation times of these fertilized eggs.
(b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 23 days.
The probability that a randomly selected fertilized egg hatches in less than 23 days is _?__. (Round to four decimal places asneeded.)
Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice.
A. In every group of 100 fertilized eggs, __?__ eggs will hatch in less than 23 days. (Round to the nearest integer as needed.)
B. The average proportion of the way to hatching of all eggs fertilized in the past 23 days is _?__ (round to two decimal places as needed.)
C. If 100 fertilized eggs were randomly selected, _?__ of them would be expected to take more than 27 days to hatch. (round to the nearest integer as needed.)
(d) Find and interpret the probability that a randomly selected fertilized egg hatches between 24 and 25 days.
The probability that a randomly selected fertilized egg hatches between 24 and 25
days is __?__. (Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice.
A. In every group of 100 fertilized eggs, __?__ eggs will hatch between 24 and 25 days. (Round to the nearest integer as needed)
B. If 100 fertilized eggs were randomly selected, _?__ of them would be expected to hatch between 24 and 25. (Round to the nearest integer as needed.)
C. The average proportion of the way to hatching of all eggs fertilized between 24 and 25 days is __?_. (Round to two decimal places as needed.)
(e) Would it be unusual for an egg to hatch in less than 22 days? Why?
The probability of an egg hatching in less than 22 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.)
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