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29 November, 02:32

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 2.2 days. What is the 90th percentile for recovery times? (Round your answer to two decimal places.)

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  1. 29 November, 04:05
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    3.03 days

    Step-by-step explanation:

    We first look up the Z-score for 90th percentile in the table;

    = 1.282

    Z score is given by the formula;

    X - μ / σ

    We are given μ as 5.2 while σ is 2.2. Therefore;

    1.282 = X - 5.2 / 2.2

    1.282 * 2.2 / 5.2 = X

    3.03018 = X

    = 3.03
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