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A set of college student heights are normally distributed with a mean of 170.4 centimeters and a standard deviation of 10 centimeters. What proportion of student heights are between 145 centimeters and
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15 votes
15 votes
A set of college student heights are normally distributed with a mean of 170.4 centimeters and a standard deviation of 10 centimeters. What proportion of student heights are between 145 centimeters and 171 centimeters? You may round your answer to four decimal places.

User Zath
by
3.0k points

2 Answers

8 votes
8 votes

Answer:

0.550127

Explanation:

Prob ( 145 < x < 171) =

Prob ( (145 - 170.4)/10 < z < (171-170.4)/10 ) =

Prob ( -2.54 < z < 0.14) =

Prob ( z < 0.14) - Prob ( z< -2.54) =

0.550127

User Adrian Kalbarczyk
by
3.9k points
5 votes
5 votes

Answer:

0.5184

Explanation:

User Kevin Loney
by
3.0k points
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