Ten adults are selected at random from the population and their IQ measured. (a) What is the

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Ten adults are selected at random from the population and their IQ measured.

(a) What is the probability distribution of the sample average IQ?

(b) What is the probability that the average IQ of the sample is over 110?

(c) If many such samples were taken, in what proportion would you expect the average IQ to be over 110?

(d) What is the probability that the average IQ lies within the range 90 to 110? How does this answer compare to the answer to part (b) of Problem 16? Account for the difference.

(e) What is the probability that a random sample of ten university students has an average IQ greater than 110?

(f) The first adult sampled has an IQ of 150. What do you expect the average IQ of the sample to be?

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