A warehouse receives orders for a particular product on a regular basis. When an order is...

Find the probability that a customer orders at least five units.

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Expert Solution

Historical data suggest that the size of any given order is equally likely to be of any of these sizes.

Then, X will follow discrete uniform distribution with range (3, 21). The PMF of X is,

P(X = k) = 1/(21-3 + 1) = 1/19 for k = 3,4, ..., 21

Probability that a customer orders at least five units = P(X 5) = 1 - P(X < 5)

= 1 - P(X 4)

= 1 - [P(X = 3) + P(X = 4)]

= 1 - [1/19 + 1/19]

= 1 - 2/19

= 17/19

orchestra answered 1 year ago

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