Question

4. (25p.) Suppose that the manager of a hospital has a large amount of historical data about the number of patients coming to a hospital. Let X the number of patients that come to hospital during a 20-minutes period. The historical data shows that the random variable X is determined by the following pmf $f(x) = e^{-6} \frac{6^x}{x!}$, for $x = 0, 1, 2 ...$ a) Find the probability that less than 3 patients come to the hospital in a specific 20- minutes time period. b) Find the probability that only 2 patients come. c) Find the probability that more than 3 patients come.

          4. (25p.) Suppose that the manager of a hospital has a large amount of historical data about the
number of patients coming to a hospital. Let X the number of patients that come to hospital
during a 20-minutes period. The historical data shows that the random variable X is
determined by the following pmf
$f(x) = e^{-6} \frac{6^x}{x!}$, for $x = 0, 1, 2 ...$
a) Find the probability that less than 3 patients come to the hospital in a specific 20-
minutes time period.
b) Find the probability that only 2 patients come.
c) Find the probability that more than 3 patients come.

4. (25p.) Suppose that the manager of a hospital has a large amount of historical data about the
number of patients coming to a hospital. Let X the number of patients that come to hospital
during a 20-minutes period. The historical data shows that the random variable X is
determined by the following pmf
f(x) = e^-6(6^x)/(x!), for x = 0, 1, 2 ...
a) Find the probability that less than 3 patients come to the hospital in a specific 20-
minutes time period.
b) Find the probability that only 2 patients come.
c) Find the probability that more than 3 patients come.

Added by Ashley W.

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