a. Is normal approximation to this discrete binomial case reasonable? Justify. b. Determine the parameters of the normal approximation. c. What continuity correction must be used with normal approximation?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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8

Surveys indicate that 40% of the vehicles
in some metropolitan areas cause
excessive emissions of pollutants.
Transport Canada randomly selects 50
vehicles for inspection in one of these
areas. You need to determine the
probability that the number of vehicles
causing unnecessary pollution is more than
15 but fewer than 25.
a. Is normal approximation to this discrete
binomial case reasonable? Justify.
b. Determine the parameters of the normal
approximation.
c. What continuity correction must be
used with normal approximation?
d. Use Normal Areas tables (type 1) to
determine the required probability. Verify
and compare the results for both CDF
distributions on Desmos. Show the
screenshot.
Transcribed Image Text:Surveys indicate that 40% of the vehicles in some metropolitan areas cause excessive emissions of pollutants. Transport Canada randomly selects 50 vehicles for inspection in one of these areas. You need to determine the probability that the number of vehicles causing unnecessary pollution is more than 15 but fewer than 25. a. Is normal approximation to this discrete binomial case reasonable? Justify. b. Determine the parameters of the normal approximation. c. What continuity correction must be used with normal approximation? d. Use Normal Areas tables (type 1) to determine the required probability. Verify and compare the results for both CDF distributions on Desmos. Show the screenshot.
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