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An important part of the customer service responsibilities of a cable company is the speed with...

An important part of the customer service responsibilities of a cable company is the speed with which trouble and service can be repaired. Historically, the data show that the likelihood is 0.75 that troubles in a residential service can be repaired on the same day. For the first five troubles reported on a given day, what is the probability that fewer than two troubles will be repaired on the same day?

A. .6328
B. .0010
C. .0156
D. .0146
Math   Statistics-And-Probability   
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Answer #1

The probability that a randomly selected trouble will be repaired on the same day = 0.75

Let X denotes the number of troubles that will be repaired on the same day out of first 5 selected troubles.

X ~ Binomial(n = 5, p = 0.75)

The probability mass function of X is

Now,

The probability that fewer than two troubles will be repaired on the same day

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