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In: Statistics and Probability

7. (9 pts.) On weekend nights, a large urban hospital has an average of 4.8 emergency...

7. (9 pts.) On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour. Let X be the number of arrivals per hour on a weekend night at this hospital. Assume that successive arrivals are random and independent.

(a ) What is the distribution of X ?

(b) What is the probability of observing exactly two emergency arrivals?

(c) What is the probability of observing more than two emergency arrivals?

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