SOLUTION: Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a standard deviation of 6 cm. a. What is the probability that a child, picked at

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Question 1179931: Five hundred children participated in a field demonstration. Their heights
averaged 110 cm with a standard deviation of 6 cm.
a. What is the probability that a child, picked at random, has a height
greater than 116 cm?
b. What is the probability that the height of a child, picked at random, is
less than 104 cm?
c. How many children belong to the upper 15% of the group?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
a. (116-110)/6 =1, so probability z >1 is probability of 0.1587.
b. this is z=-1, since the function is symmetrical, and the same probability as a.
c. upper 15% of the group is 500*0.15=75 children.

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