A Statistical Tutorial Centre has been designed to handle a maximum of 25 students per day. Suppose that the number X of students visiting this centre each day is a normal random variable with mean 15 and variance 16.

Part a) What is the return period for this centre rounded to the nearest day?

how should i start this question?

Question

Mathematics

Friday

27 November, 11:07

A Statistical Tutorial Centre has been designed to handle a maximum of 25 students per day. Suppose that the number X of students visiting this centre each day is a normal random variable with mean 15 and variance 16.

Part a) What is the return period for this centre rounded to the nearest day?

how should i start this question?

+5

Answers (1)

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Phoenix Ballard · Answer 1

A. return period = 1/p

where p = prob x>25

Z = (x-mean) / stand dev,

Recall stand dev = sqrt (variance)

Z = (25-15) / 4

Z=2.5 which corresponds to. 4938

Prob of x>25=.5-.4938=.0062

p=.0062

1/p = 161.29

161 days