In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.4 inches, and standard deviation of 5 inches. A) What is the probability that a randomly chosen child has a height of less than 66.1 inches? Answer= (Round your answer to 3 decimal places.) B) What is the probability that a randomly chosen child has a height of more than 48.5 inches? Answer= (Round your answer to 3 decimal places.)

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In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.4 inches, and standard deviation of 5 inches.

A) What is the probability that a randomly chosen child has a height of less than 66.1 inches?

Answer= (Round your answer to 3 decimal places.)

B) What is the probability that a randomly chosen child has a height of more than 48.5 inches?

Answer= (Round your answer to 3 decimal places.)

 

 
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Step 1

A)

Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.

Thus, the z-score of that random variable X is z = (Xµ)/σ.

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