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24 October, 02:58

Assume the number of pounds of chocolate consumed in a year is equally likely between 20 and 100 pounds. what is the probability that someone consumes less than 60 pounds of chocolate in a year?

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  1. 24 October, 03:45
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    Because the probability is uniform (equally likely) between 20 and 100 pounds, the probability distribution is uniform between 80 and 100 pounds, with the value 1 / (100-20) = 1/80 chocolates/pound.

    Let x = random variable that represents pounds of chocolate consumed.

    Therefore

    P (x < 60) = (60 - 20) * (1/80) = 1/2.

    Answer: The probability is 1/2.
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