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Intelligence quotient (IQ) scores are often reported to be normally distributed with a mean of 100...

Intelligence quotient (IQ) scores are often reported to be normally distributed with a mean of 100 and a standard deviation of 15. (a) If a random sample of 50 people is taken, what is the probability that their mean IQ score will be less than 95? (b) If a random sample of 50 people is taken, what is the probability that their mean IQ score will be more than 95? (c) If a random sample of 50 people is taken, what is the probability that their mean IQ score will be more than 105? (d) If a random sample of 50 people is taken, what is the probability that their mean IQ score will differ from the population by more than 5?

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