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27 December, 13:32

a baseball league finds the speeds of pitches are normally distributed, with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch is thrown at a speed of 85.2 mph. What is the z-score of this pitch? Round your answer to two decimal places.

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  1. 27 December, 15:20
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    -1.58

    Step-by-step explanation:

    We have that the mean (m) is equal to 89 and the standard deviation (sd) 2.4

    They ask us for P (x <85.2)

    For this, the first thing is to calculate z, which is given by the following equation:

    z = (x - m) / (sd)

    We have all these values, replacing we have:

    z = (85.2 - 89) / (2.4)

    z = - 1.58
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