A weather forecaster predicts that the may rainfall in a local area will be between three and six inches but has no ides where within the interval the amount will be. Let x be the amount of M ay rainfall in the local area, and assume that x is uniformly distributed over the interval three to six inches. What is the probability that May rainfall will be at least four inches? At least five inches?
A weather forecaster predicts that the may rainfall in a local area will be between three and six inches but has no ides where within the interval the amount will be. Let x be the amount of M ay rainfall in the local area, and assume that x is uniformly distributed over the interval three to six inches. What is the probability that May rainfall will be at least four inches? At least five inches?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A weather forecaster predicts that the may rainfall in a local area will be between three and six inches but has no ides where within the interval the amount will be. Let x be the amount of M ay rainfall in the local area, and assume that x is uniformly distributed over the interval three to six inches. What is the
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Answer:- Let x be the amount of May rainfall in the local area, and assume that x is uniformly distributed over the interval 3 to 6 inches.
That is, X~ U( 3, 6)
So, pdf of X is
f(x) = 1/(b-a) = 1/(6-3) = 1/3
And The cdf of X is ,
P( X ≤ x) = (x-a)/(b-a) = (x-3)/3
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