A certain flight arrives on time 87 percent of the time. Suppose 180 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 167 flights are on time. (b) at least 167 flights are on time. (c) fewer than 154 flights are on time. (d) between 154 and 167, inclusive are on time.
A certain flight arrives on time 87 percent of the time. Suppose 180 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 167 flights are on time. (b) at least 167 flights are on time. (c) fewer than 154 flights are on time. (d) between 154 and 167, inclusive are on time.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A certain flight arrives on time 87 percent of the time. Suppose 180
flights are randomly selected. Use the normal approximation to the
binomial to approximate the probability that
(a) exactly 167 flights are on time.
(b) at least 167 flights are on time.
(c) fewer than 154 flights are on time.
(d) between 154 and 167, inclusive are on time.
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Step 1: Determine the given variables.
VIEWStep 2: Check the normal approximation.
VIEWStep 3: Find the probability that exactly 167 flights are on time.
VIEWStep 4: Find the probability that at least 167 flights are on time.
VIEWStep 5: Find the probability that fewer than 154 flights are on time.
VIEWStep 6: Find the probability that between 154 and 167 flights are on time.
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