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Suppose that in the population of healthy children, VMA levels are Normally distributed with mean of 2.0 and a standard deviation of 0.3. Elevated

Suppose that in the population of healthy children, VMA levels are Normally distributed with mean of 2.0 and

Suppose that in the population of healthy children, VMA levels are Normally distributed with mean of 2.0 and a standard deviation of 0.3. Elevated VMA is defined as exceeding 2.3 mg. Compute each probability below using the pnorm function in R. Recall that for X~Normal(,o), pnorm(x, , o) returns Pr(X x). 1. What proportion of healthy children have elevated VMA levels? II. Suppose that you take a random sample of 9 healthy children. What is the probability that their mean VMA is greater than 2.3 mg? III. Suppose that you take a random sample of 25 healthy children. What is the probability that their mean VMA is greater than 2.3 mg?

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