# Question

On average, 28 patients per hour arrive in the Foxboro 24-Hour Walk-in Clinic on Friday between 6 p.m. and midnight.

(a) What is the approximate probability of more than 35 arrivals?

(b) What is the approximate probability of fewer than 25 arrivals?

(c) Is the normal approximation justified? Show all calculations.

(d) Use Excel to calculate the actual Poisson probabilities. How close were your approximations?

(a) What is the approximate probability of more than 35 arrivals?

(b) What is the approximate probability of fewer than 25 arrivals?

(c) Is the normal approximation justified? Show all calculations.

(d) Use Excel to calculate the actual Poisson probabilities. How close were your approximations?

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