Pharmacists enter the production facility of a pharma industry at a rate of 8 persons per hour.

Compute the probability of 53 persons entering the facility from 9 am to 5 pm.

Give your answer to four decimal places.

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In another facility, pharmacists enter at a rate of 3.0 per hour. Compute the probability of no pharmacists enters the facility in a 0.5-hour period.

Give your answer to four decimal places.

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In the second facility (3.0 per hour), suppose the workers go to take a break for 1.5 hours. Compute the standard deviation of the number of boxes that would have been packed within that time?

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