The heights of the children at a summer camp are normally distributed with a mean of 58 in. and a standard deviation of 4 in.

There are 150 children at the summer camp.

About how many children are expected to have heights between 54 in. and 62 in.?

51

71

102

143

First, we must find the z-scores for each limit

for 54

z = (54 - 58) / 4 = - 1

For this z-score, the area under the curve is 0.1587

for 62

z = (62 - 58) / 4 = 1

The area under the curve is 0.8413

Subtracting the two z-scores:

0.8413 - 0.1587 = 0.6825

Multiplying by 150

150 (0.6825) = 102.39

So, the closest answer is

102