The height of 5th grade boys is normally distributed with mean μ=57 inches and standard deviation σ=2 inches. what is the probability that the height of a randomly selected 5th grade boy will be between 53 inches and 61 inches?

0.9544

Step-by-step explanation:

Mean =  μ=57

Standard deviation σ=2

Formula :

At x = 53

Refer the z table

P(z<-2)=0.0228

At x = 61

Refer the z table

P(z<2)=0.9772

We are suppose to find the probability that the height of a randomly selected 5th grade boy will be between 53 inches and 61 inches.

P(53<x<61)=P(-2<z<2)=P(z<2)-P(z<-2) = 0.9772 - 0.0228=0.9544

Hence the probability that the height of a randomly selected 5th grade boy will be between 53 inches and 61 inches is 0.9544

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step-by-step explanation: