The height of 5th grade boys is normally distributed with mean μ=57 inches and standard deviation σ=2 inches. What is the probab
1 answer:
Answer:
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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