Suppose that the average IQ score is normally distributed with a mean of 110 and

Question

Suppose that the average IQ score is normally distributed with a mean of 110 and a standard deviation of 20. In addition to providing the answer, state the relevant Excel commands. (Use Excel)

What is the probability a randomly selected person will have an IQ score of less than 85? (Round your answer to 4 decimal places.)

What is the probability that a randomly selected person will have an IQ score greater than 140? (Round your answer to 4 decimal places.)

What minimum IQ score does a person have to achieve to be in the top 3.2% of IQ scores? (Round your answer to 2 decimal places.)

a.

What is the probability a randomly selected person will have an IQ score of less than 85? (Round your answer to 4 decimal places.)

Explanation / Answer

mean 110 SD 20 Z=(x-miu)/SD P(Z140) Z=(140-110)/20 1.5 0.933192799 1-0.933 0.0668 Z of 0.032 0.968 1.85

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