The waiting time for receiving an occupational therapy treatment in a rehabilitation clinic after arrival is normally distributed with mean 15 minutes and standard deviation 3.5 minutes. (a) What is the probability that the waiting time for a randomly selected patient from that clinic is more than 16 minutes? (b) There are 7% of the patients need to wait for more than k minutes, find the value of k. (c) Suppose there are 8 patients, what is the probability that less than 3 of them need to wait for more than 16 minutes to receive the treatment? Assume their waiting times are independent to each other.

MATLAB: An Introduction with Applications
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The waiting time for receiving an occupational therapy treatment in a rehabilitation clinic after arrival is
normally distributed with mean 15 minutes and standard deviation 3.5 minutes.
(a) What is the probability that the waiting time for a randomly selected patient from that clinic is more than
16 minutes?
(b) There are 7% of the patients need to wait for more than k minutes, find the value of k.
(c) Suppose there are 8 patients, what is the probability that less than 3 of them need to wait for more than
16 minutes to receive the treatment? Assume their waiting times are independent to each other.
(d) Suppose the occupational therapy treatment time in the clinic is normally distributed with mean 30
minutes and standard deviation 5 minutes, which is independent to the waiting time. Find the following
summary statistics of the total time a patient spends in the clinic:
(di)
Mean
(dii)
standard deviation
(diii)
Mode
Transcribed Image Text:The waiting time for receiving an occupational therapy treatment in a rehabilitation clinic after arrival is normally distributed with mean 15 minutes and standard deviation 3.5 minutes. (a) What is the probability that the waiting time for a randomly selected patient from that clinic is more than 16 minutes? (b) There are 7% of the patients need to wait for more than k minutes, find the value of k. (c) Suppose there are 8 patients, what is the probability that less than 3 of them need to wait for more than 16 minutes to receive the treatment? Assume their waiting times are independent to each other. (d) Suppose the occupational therapy treatment time in the clinic is normally distributed with mean 30 minutes and standard deviation 5 minutes, which is independent to the waiting time. Find the following summary statistics of the total time a patient spends in the clinic: (di) Mean (dii) standard deviation (diii) Mode
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