If X is N(1,4), compute the probability P(1<x^2<9)

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27-05-2014
Math

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If X is N(1,4), compute the probability P(1<x^2<9)

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Gameongoplayidn Gameongoplayidn · Answer 1 · 2014-05-27T22:30:24+08:00

Gameongoplayidn Gameongoplayidn

27-05-2014

Given: X is N(1, 4).
P(1 < X^2 < 9) = 0.3413447 -> seven decimal places pnorm(√(9), 1, 4) - pnorm(√(1), 1, 4) + pnorm(-√(1), 1, 4) - pnorm(-√(9), 1, 4)
equivalent simplified expression pnorm(3, 1, 4) - pnorm(1, 1, 4) + pnorm(-1, 1, 4) - pnorm(-3, 1, 4)

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