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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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
Transcribed Image Text:The mean incubation time for a type of fertilized egg kept at a certain temperature is 22 days. Suppose that the incubation times are approximately normally distributed
with a standard deviation of 1 day. Complete parts (a) through (e) below.
(b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 20 days.
The probability that a randomly selected fertilized egg hatches in less than 20 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.
(Round to the nearest integer as needed.)
O A. In every group of 100 fertilized eggs,
eggs would be expected to hatch in less than 20 days.
O B. If 100 fertilized eggs were randomly selected, of them would be expected to hatch in less than 20 days.
O C. If 100 fertilized eggs were randomly selected, exactly
would be expected to hatch on day 20.
(c) Find and interpret the probability that a randomly selected fertilized egg takes over 24 days to hatch.
The probability that a randomly selected fertilized egg takes over 24 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 to complete your choice.
(Round to the nearest integer as needed.)
O A. If 100 fertilized eggs were randomly selected,
of them would be expected to take more than 24 days to hatch.
O B. In every group
100 fertilized eggs,
eggs would
expected to hatch in more than 24 days.
O C. If 100 fertilized eggs were randomly selected, exactly
would be expected to hatch on day 24.
(d) Find and interpret the probability that a randomly selected fertilized egg hatches between 21 and 22 days.
The probability that a randomly selected fertilized egg hatches between 21 and 22 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.
(Round to the nearest integer as needed.)
O A. If 100 fertilized eggs were randomly selected, exactly
would be expected to hatch on day 21 or on day 22.
O B. If 100 fertilized eggs were randomly selected, of them would be expected to hatch between 21 and 22 days.
O C. In every group of 100 fertilized eggs,
eggs would be expected to hatch between 21 and 22 days.
(e) Would it be unusual for an egg to hatch in less than 19 days? Why?
The probability of an egg hatching in less than 19 days is
soit
would
be unusual, since the probability is
less
than 0.05.
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