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