Suppose that in order to save money, the Golden Eagles Nest dining area is considering limiting the number of cashiers to one even during peak hours, but before making that decision, wants to know how much congestion the reduction in cashiers would cause. Suppose that the average transaction takes thirty (30) seconds, so the cashier can handle at most two (2) customers per minute. Suppose that during peak hours, an average of 2.2 students visit the dining area per minute; in what percentage of minutes would fewer students show up than can be served? I.e. calculate P(X< 2) = P(X <= 1) and express your answer in decimal format rounded to two decimal places.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose that in order to save money, the Golden Eagles Nest dining area is
considering limiting the number of cashiers to one even during peak hours, but
before making that decision, wants to know how much congestion the reduction in
cashiers would cause. Suppose that the average transaction takes thirty (30)
seconds, so the cashier can handle at most two (2) customers per minute. Suppose
that during peak hours, an average of 2.2 students visit the dining area per minute; in
what percentage of minutes would fewer students show up than can be served? I.e.
calculate P(X< 2) = P(X <= 1) and express your answer in decimal format rounded to
two decimal places.
Transcribed Image Text:Suppose that in order to save money, the Golden Eagles Nest dining area is considering limiting the number of cashiers to one even during peak hours, but before making that decision, wants to know how much congestion the reduction in cashiers would cause. Suppose that the average transaction takes thirty (30) seconds, so the cashier can handle at most two (2) customers per minute. Suppose that during peak hours, an average of 2.2 students visit the dining area per minute; in what percentage of minutes would fewer students show up than can be served? I.e. calculate P(X< 2) = P(X <= 1) and express your answer in decimal format rounded to two decimal places.
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