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Find the probability of finding someone with an iq score

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Please review the following questions and provide a detailed answer for each one. They are from Introduction to statistics. Thanks!

1. Given a standard normal variable z, find the cutoff value separating the top 2.5% of the values from the rest of the distribution.

2 Heights of men are normally distributed with mean 69 inches and standard deviation 2.8 inches. Find the height of a doorway so that only 3% of men would not fit through the door.

Membership in Mensa requires an IQ score above 131.5. Nine candidates take IQ tests and their summary results indicate that their mean IQ score is 133 (1Q scores are normally distributed with a mean of 100 and a standard deviation of 15).

3. If one person is selected from the general population, find the probability of finding someone with an IQ score of at least 133.

4. If 9 people are randomly selected from the population, find the probability that their mean IQ score is at least 133.

Reference no: EM132152075

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