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STA215 Introduction to Applied Statistics

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Question 1. Let X be the length of time patients must wait to see a doctor at a hospital in Mississauga.If X is normally distributed with a mean of 20 minutes and standard deviation of 4 minutes. Hint: UseR when appropriate.

(a) What is the probability that a selected patient will wait less than 18 minutes to see the doctor.

(b) What is the 95th percentile of the waiting time? Interpret this value.

(c) For a random sample of 36 patients, what is the probability that their mean waiting time is at most 21 minutes?

(d) If 3 patients are independently selected, find the probability that all of them will wait more than 21 minutes?

(e) What is the probability that a selected patient will wait for another 4 minutes given he already waited 21 minutes?

 

STA215 Introduction to Applied Statistics

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