determine the cumulative distribution functino for thedistribution of ex. 4-9 (4
ID: 2955225 • Letter: D
Question
determine the cumulative distribution functino for thedistribution of ex. 4-9(4-9:the probability density funciton of the length of a metal rodis f(x)=2 for 2.3<x<2.8 meters) use the cumulative distribution function to determine theprobability that a length exceeds 2.7 determine the cumulative distribution functino for thedistribution of ex. 4-9
(4-9:the probability density funciton of the length of a metal rodis f(x)=2 for 2.3<x<2.8 meters) use the cumulative distribution function to determine theprobability that a length exceeds 2.7
Explanation / Answer
Setup f(x) = 2P(X > 2.7) is the area to the right of 2.7. So you don't even need to use calculus, because we have auniform density. Just use geometry. Find probability. Area of rectange = h * b h = 2 b = 2.8 - 2.7 = .1 P(X > 2.7) =2 * 0.1 = 0.2 Hope this helps, Mike
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