A private hospital gets an average of 14 hospital admissions per week in its emergency room (ER). Let x be the outcome of hospital admissions in the emergency room in a week. In order to plan for the number of beds for the future, the hospital has to model the data with an appropriate distribution. (a) what distribution would you suggest for the random variable X, and why? (b) what is the probability of getting at most two admissions in one week? (c) what is the probability of getting at most two admissions in two weeks?

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A private hospital gets an average of 14 hospital admissions per week in its emergency room (ER). Let x be the outcome of hospital admissions in the emergency room in a week. In order to plan for the number of beds for the future, the hospital has to model the data with an appropriate distribution.

(a) what distribution would you suggest for the random variable X, and why?

(b) what is the probability of getting at most two admissions in one week?

(c) what is the probability of getting at most two admissions in two weeks?

(d) what is the probability of getting at least one admission in 2 days, assuming its ER opens 7 days a week?

(e) if the hospital closes for three days because of a very serious event, how may new patients will the ER miss for admission on average, in those three days?

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