Question

Assume that the random variable X is normally distributed, with mean μ = 135 and standard...

Assume that the random variable X is normally distributed, with mean μ = 135 and standard deviation σ = 28.

Find P(X < 152) =

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Answer #1

Solution :

Given that,

mean = = 135

standard deviation = =28   

P(X<152 ) = P[(X- ) / < (152-135) /28 ]

= P(z <0.61 )

Using z table

= 0.7291

probability=0.7291

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