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?
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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