Intelligence quotient scores are known to follow a normal distribution with mean 100 and standard deviation 15.

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Intelligence quotient scores are known to follow a normal distribution with mean 100 and standard deviation 15. Using the normal probability model, determine

(a) the probability that an individual has an IQ score of greater than 140.

(b) the probability that an individual has an IQ score of less than 80.

(c) the probability that an individual has an IQ score of between 105 and 125.

(d) the 95th percentile of IQ scores.

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