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## Height of 10th grade boys is normally distributed with a mean of 63.5 in. and a standard deviation of 2.9 in. The area greater t

Question

Height of 10th grade boys is normally distributed with a mean of 63.5 in. and a standard

deviation of 2.9 in.

The area greater than the Z-score is the probability that a randomly selected 14-year

old boy exceeds 70 in.

What is the probability that a randomly selected 10th grade boy exceeds 70 in.?

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Mathematics
3 years
2021-08-30T17:29:51+00:00
2021-08-30T17:29:51+00:00 1 Answers
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## Answers ( )

Answer:P(Z>2.24) = P(70<X<1e99) = 1.25%

Step-by-step explanation:Calculate Z-score:

Z=(x-μ)/σ

Z=(70-63.5)/2.9

Z=6.5/2.9

Z=2.24

Find area greater than Z-score:

P(Z>2.24) = P(70<X<1e99) = normalcdf(70,1e99,63.5,2.9) = 0.0125

So the probability that a randomly selected 10th-grade boy exceeds 70 inches is a 1.25% chance.