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3 June, 21:04

The probability distribution below shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. The number of Days Absent Probability 0 0.60 1 0.20 2 0.12 3 0.04 4 0.04 5 0.00

Based on this information, what is the mean number of days absent?

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  1. 3 June, 21:26
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    the mean number of days absent is 0.72 days (since 0.72 is not an integer, we can say that is the average number of days absent is close to 1 day)

    Step-by-step explanation:

    given a random variable X = number of days absent, the mean is calculated as:

    mean = ∑ x * p (x), for all the x possible

    where x = number of days absent and p (x) the probability of "x" number of days absent

    therefore

    mean = 0 * 0.60 + 1 * 0.20 + 2*0.12 + 3*0.04 + 4 * 0.04 + 5 * 0.00 = 0.72 days
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