SOLUTION: Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a standard deviation of 6 cm. 2.1 What is the probability that a child, picked at r

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Question 1178932: Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a standard deviation of 6 cm.
2.1 What is the probability that a child, picked at random, has a height greater
than 116 cm?
2.What is the probability that a child picked, random has a height less than 104 cm ?
3.how many children belong to the upper 15% of the group?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Normal distribution:  µ = 110 and σ = 6
n = 500
continuous curve:
P(x >116) 
 Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus
P(x >116) = 1 - normalcdf(116, 9999, 110, 6) = .1587 0r 15.87%

how many children belong to the upper 15% of the group? .15*500 = 75

 Wish You the  Best in your Studies.

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