SOLUTION: the daily amount of beverages consume by a man is uniformly distributed with a=7 , b=10 . what is the probability that the amount of beverages consumed will be at most 8.8?

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Question 1120105: the daily amount of beverages consume by a man is uniformly distributed with a=7 , b=10 . what is the probability that the amount of beverages consumed will be at most 8.8?
Answer by ikleyn(52858) About Me  (Show Source):
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The random variable is uniformly distributed over the interval of the length 3 = 10-7.


The probability that the values of the random variable will be in sub-interval [7,8.8]  of the length  1.8 = 8.8-7,  is


the ratio of the two lengths  1.8%2F3 = 3%2F5 = 0.6 = 60%.