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22 January, 21:37

The miles-per-gallon obtained by the 1995 model Z cars is normally distributed with a mean of 22 miles-per-gallon and a standard deviation of 5 miles-per-gallon. What is the probability that a car will get less than 21 miles-per-gallon?

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  1. 22 January, 23:26
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    0.42074

    Step-by-step explanation:

    In this question, we are asked to calculate the probability that a car will get less than 21 miles per gallon.

    This is P (x < 21)

    z = 21-22/5 = - 1/5 = - 0.2

    Therefore the probability of getting less than 21 miles per gallon will be;

    P (x<21) = P (z < - 0.2)

    = 0.42074
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