question archive A local FedEx/Kinkos has three black-and-white copy machines and two color copiers
A local FedEx/Kinkos has three black-and-white copy machines and two color copiers
Subject:StatisticsPrice:2.87 Bought7
A local FedEx/Kinkos has three black-and-white copy machines and two color copiers. Based on historical data, the chances that each black-and-white copier will be down for repairs is 0.10. The color copiers are more of problem and are down 20% of the time
a)BAsed o this information, what is the probability that if a customer needs a color copy?
b) If a customer wants both color copy and a black and white copy, what is the probability tha the necessary machines will be available? ( Assume that the color copier may be used to make black and white copies if needed)
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Answer:
a)4% that both are down
20% that the color is down
So the chance that both are down is 20% * 20% = 4%
b) The only case in which the customer cannot make a Color copy and a B&W copy is
. . when both Color copies are down.
P(both color down) = 0.2 * 0.2 = 0.04 = 4%
Therefore, a Color copy and a B&W copy can be made with probabiltiy
P = 1 - 0.04 = 0.96 = 96 %
