Asked by Sniper
The hieght,X ,of young American women is distributed normal with mean 65.5 and standard deviation 2.5 inches .find the probability of each the following events.
a- X<67
b-64<X<67
a- X<67
b-64<X<67
Answers
Answered by
MathMate
1. find
Z-score = (X-mean)/stdev
=(67-65.5)/(2.5)
=(1.5)/2.5
=0.6
2. Look up standard normal distribution tables for one-tail where Z-score = 0.6
P(x<X=67)=0.7257469 [from tables for Z=0.6]
For part b, find similarly P(x<X=64)
then
P(64<x<67)
=P(x<67)-P(x<64)
Z-score = (X-mean)/stdev
=(67-65.5)/(2.5)
=(1.5)/2.5
=0.6
2. Look up standard normal distribution tables for one-tail where Z-score = 0.6
P(x<X=67)=0.7257469 [from tables for Z=0.6]
For part b, find similarly P(x<X=64)
then
P(64<x<67)
=P(x<67)-P(x<64)
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