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9 November, 11:51

The mean incubation time for a type of fertilized egg kept at 100.7100.7â°f is 2323 days. suppose that the incubation times are approximately normally distributed with a standard deviation of 22 daysdays. â (a) what is the probability that a randomly selected fertilized egg hatches in less than 2121 âdays? â (b) what is the probability that a randomly selected fertilized egg hatches between 1919 and 2323 âdays? â (c) what is the probability that a randomly selected fertilized egg takes over 2525 days toâ hatch?

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  1. 9 November, 12:01
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    In this item, we have the mean incubation period of 23 days and the standard deviation is 22 days. We use z-score to determine the unknown in each of the items.

    (a) less than 21 days.

    z-score = (23 - 21) / 22 = 1/11

    This translates to a percentage of 53.6%

    (b) z-score for 19 days.

    z-score = (23 - 19) / 22 = 2/11

    This translates to a percentage of 57.2%.

    z-score for 23 days.

    z-score = (23 - 23) / 22 = 0

    This translates to a percentage of 50%.

    The difference between the two numbers is only 7.2%

    (c) z-score of 25.

    z-score = (23 - 25) / 22 = - 1/11

    This translates to a percentage of 42.3%.

    Then, subtract this value from 100 to give us the final answer of 57.2%.
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