Question: I.Q. scores are normally distributed with mean 100 and standard deviation 15. Suppose

denotes an I.Q. score. Find the following probabilities.

1. P(X<=135)
2. P(84.25<=X<=132.25)
3. P(X>=122.5)
4. P(X>=80.5)
5. The Smart People’s Club admits those whose I.Q. is in the top 1% of scores. What is the minimum score a person must attain to join the club?

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