in a countyof united states of heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.6 inches and standard deviation of 2.6 inches.
A) What is the probabilty that a randomly chosen child has a height of less than 60.8 inches?______round three decimal places
B) What is the probability that a randomly chosen child has a height of more than 48.7 inches?_______round three decimal places.
Given,
= 55.6, = 2.6
We convert this to standard normal as
P( X < x) = P( Z < x - / )
A)
P( X < 60.8) = P( Z < 60.8 - 55.6 / 2.6)
= P( Z < 2)
= 0.977
B)
P( X > 48.7) = P( Z > 48.7 - 55.6 / 2.6)
= P( Z > -2.6538)
= P( Z < 2.6538)
= 0.996
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