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In: Statistics and Probability

The measure of intelligence, IQ, of a group of people is assumed to be approximately normally...

The measure of intelligence, IQ, of a group of people is assumed to be approximately normally distributed with mean 102 and standard deviation 14.

(a) We now select a person randomly from the group. Let x be the selected person's IQ. Find the probability that the selected person's IQ is at least 95 and less than 116.

(b) If we are told that Tom's IQ, denoted by Xt, is at the 98th percentile of the IQ distribution of the group of people. Find Xt.

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orchestra answered 2 years ago
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