Question

Suppose IQs are normally distributed with a mean of 100 and a standard deviation of 16....

Suppose IQs are normally distributed with a mean of 100 and a standard deviation of 16.

a) If one person is randomly selected, what is the probability that the person’s IQ is higher than 90 but lower than 115?

b) If eight people are randomly selected, what is the probability that the sample mean IQ is higher than 90 but lower than 115?

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Answer #1

a) The probability that the persons IQ is higher than 90 but lower than 115 is: P (90<x<115)=P(0-4<X-4. 115-4) 90-100 115-10

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