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It is estimated that 0.56 percent of the callers to the Customer Service department of Dell...

It is estimated that 0.56 percent of the callers to the Customer Service department of Dell Inc. will receive a busy signal. What is the probability that of today's 1,400 callers at least 5 received a busy signal?

Math   Statistics-And-Probability   
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Answer #1

Here we have given that 0.56 percent of the callers to the Customer Service department of Dell Inc. will receive a busy signal. Therefore p=0.56

Now let total number of callers equal to n=1400 and we have to obtain probability that at least 5 received a busy signal.

Since the distribution of the Customer Service department of Dell Inc. will receive a busy signal is binomial with n=1400 and p=0.56

Let X denote Customer Service department of Dell Inc. will receive a busy signal

Therefore

P(X≥5)= probability that of today's 1,400 callers at least 5 received a busy signal

=1-P(X<5)=1

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