mpany operates 65 bus trips each day 0 or more of these buses arrive on tir omial distribution to the probability that 60 or s arrive on time. distribution be modelled using a normal tion? Give reasons for your the mean and standard f the normal approximation. mal approximation to the probability that 60 or = arrive on time.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A bus company has records showing that its buses arrive on time 95% of the time.
Suppose the company operates 65 bus trips each day. The CEO has asked for the
probability that 60 or more of these buses arrive on time.
a) Use the binomial distribution to
determine the probability that 60 or
more buses arrive on time.
b) Could this distribution be
reasonably modelled using a normal
approximation? Give reasons for your
answer.
c) Determine the mean and standard
deviation of the normal approximation.
d) Use the normal approximation to
determine the probability that 60 or
more buses arrive on time.
Transcribed Image Text:A bus company has records showing that its buses arrive on time 95% of the time. Suppose the company operates 65 bus trips each day. The CEO has asked for the probability that 60 or more of these buses arrive on time. a) Use the binomial distribution to determine the probability that 60 or more buses arrive on time. b) Could this distribution be reasonably modelled using a normal approximation? Give reasons for your answer. c) Determine the mean and standard deviation of the normal approximation. d) Use the normal approximation to determine the probability that 60 or more buses arrive on time.
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