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The number of telephone calls arriving at an exchange during any given minute between noon and 1:00 P.M. on a weekday is a random variable with the following probability distribution.
x
P(x)
0
0.3
1
0.2
2
3
0.1
4
5
a. Verify that P(x) is a probability distribution.
b. Find the cumulative distribution function of the random variable.
c. Use the cumulative distribution function to find the probability that between 12:34 and 12:35 P.M. more than two calls will arrive at the exchange.
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