The height of 12-year-old children is considered to be continuous random variable which obeys a normal law of average 125 cm and standard deviation 15 cm. If we choose a child of 12 years old at random, what is the probability that he will have a height over 140 cm?

The height of 12-year-old children is considered to be continuous random variable which obeys a normal law of average 125 cm and standard deviation 15 cm. If we choose a child of 12 years old at random, what is the probability that he will have a height over 140 cm?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

The height of 12-year-old children is considered to be
continuous random variable which obeys a normal law of
average 125 cm and standard deviation 15 cm. If we choose a child
of 12 years old at random, what is the probability that he will have a
height over 140 cm?

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Expert Solution

Step 1: Given data :

Mean( $straight mu$ )=125

Standard deviation( $sigma$ )=15

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Solved in 3 steps with 4 images

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