Statistical Inference - Poisson Distribution ?
Emergency Room Trafﬁc Desert Samaritan Hospital keeps records of emergency room (ER) trafﬁc. Those records indicate that the number of patients arriving between 6:00 P.M. and 7:00 P.M. has a Poisson distribution with parameter λ =6.9. Determine the probability that, on a given day, the number of patients who arrive at the emergency room between 6:00 P.M. and 7:00 P.M. will be
a. exactly 4.
b. at most 2.
c. between 4 and 10, inclusive.
d. Obtain a table of probabilities for the random variable X, the number of patients arriving between 6:00 P.M. and 7:00 P.M. Stop when the probabilities become zero to three decimal places.
e. Use part (d) to construct a (partial) probability histogram for X.
f. Identify the shape of the probability distribution of X.
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