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Suppose x has a distribution with μ = 21 and σ = 15.Find P(17 ≤ x...

Suppose x has a distribution with μ = 21 and σ = 15.Find P(17 ≤ x ≤ 22)

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Homework Answers

Answer #1

Given that,

mean = = 21

standard deviation = = 15

P (17 x 22 )

P ( 17 - 21 / 15) ( x -  / ) ( 22 - 21 / 15)

P ( - 4 / 15 z - 1 / 15 )

P (-0.27 z < - 0.07)

P ( z - 0.07 ) - P ( z -0.27)

Using z table

= 0.4721 - 0.3936

= 0.0785

Probability = 0.0785

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