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The number of phone calls cominginto a switchboard in the next
five minutes will either be 0, 1, or2. The probabilities are the
same for each of these (1/3). IfX is the number of calls arriving
in a five-minute time period,what is the mean of X?

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pedrocarratore

Answer:

1 call

Step-by-step explanation:

The expected number of calls, or the mean number of calls (E(X)), is given by the sum of products of each possible outcome by their respective likelihoods.

Since all of the events have the same likelihood (1/3), the mean number of calls is:

[tex]E(X) = \frac{1}{3}*(0+1+2)\\X=1[/tex]

The mean number of calls in a five-minute period is 1 call.

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