Q. Height and weight are two measurements used to track a child’s development. The World Health Organization measures child development by comparing the weights of children who are the same height and the same gender. In 2009, weights for all 80 cm girls in the reference population had a mean,  = 10.2 kg and standard deviation,  = 0.8 kg and weights are normally distributed. a. If a girl of height 80 cm was randomly selected from that reference population then what is the probability that she had weight less than 11 kg?    b. If a girl of height 80 cm was randomly selected from that reference population then what is the probability that she had weight greater than 12.2 kg?   c. If a girl of height 80 cm was randomly selected from that reference population then what is the probability that she had weight between 7.8 kg and 12.6 kg?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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Q. Height and weight are two measurements used to track a child’s development. The World Health Organization measures child development by comparing the weights of children who are the same height and the same gender. In 2009, weights for all 80 cm girls in the reference population had a mean,  = 10.2 kg and standard deviation,  = 0.8 kg and weights are normally distributed.

a. If a girl of height 80 cm was randomly selected from that reference population then what is the probability that she had weight less than 11 kg? 

 

b. If a girl of height 80 cm was randomly selected from that reference population then what is the probability that she had weight greater than 12.2 kg?

 

c. If a girl of height 80 cm was randomly selected from that reference population then what is the probability that she had weight between 7.8 kg and 12.6 kg?

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