In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.9 inches, and standard deviation of 2 inches. What is the probability that a randomly chosen child has a height of less than 53.8 inches? What is the probability that a randomly chosen child has a height of more than 51.8 inches?

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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 53.9 inches, and standard deviation of 2 inches.

What is the probability that a randomly chosen child has a height of less than 53.8 inches?

What is the probability that a randomly chosen child has a height of more than 51.8 inches?

Expert Solution
Step 1

We have given that, 

X be the random variable from normal distribution with mean (μ) = 53.9 inches and standard deviation (σ) = 2 inches

Then, 

We will find the following probabilities, 

(a) the probability that a randomly chosen child         has a height of less than 53.8 inches?

(b) we will find the probability that a randomly        chosen child has a height of more than 51.8          inches?

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