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Heights of 10 year old children, regardless of sex, closely follow a normal distribution with mean...

Heights of 10 year old children, regardless of sex, closely follow a normal distribution with mean 55.2 inches and standard deviation 5.4 inches. Round answers to 4 decimal places.
a) What is the probability that a randomly chosen 10 year old child is less than 50.7 inches?
b) What is the probability that a randomly chosen 10 year old child is more than 61.3 inches?
c) What proportion of 10 year old children are between 50.6 and 59.5 inches tall?
d) 85% of all 10 year old child are less than inches.
Math   Statistics-And-Probability   
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Answer #1

Heights of 10 year old children , regardless of sex, closely follow a normal distribution with mean 55.2 inches and standard deviation 5.4 inches. .

a)The probability that a randomly chosen 10 year old child is less than 50.7 inches

b)The probability that a randomly chosen 10 year old child is more than 61.3 inches is

c) The probability/proportion of 10 year old children are between 50.6 and 59.5 inches tall is

d) We need to find the 85-th percentile.

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