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2 January, 23:21

A person's IQ (Intelligence Quotient) is supposed to be a measure of his or her "intelligence." The IQ test scores are normally distributed and are scaled to a mean of 100 and a standard deviation of 15. It is often said that a genius is someone with an IQ of 140 or more. What is the z-score for a 140 IQ? (Round your answer to one decimal place.) z = What percentage of the population scores as a genius? Round your answer as a percentage to one decimal place. %

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  1. 2 January, 23:49
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    2.7 and 99.6%

    Step-by-step explanation:

    In this question, we are asked to calculate the percentage of the population scores as a genius.

    We proceed as follows;

    z = (Mean - value) / standard deviation = (140 - 100) / 15 = 2.6667 = 2.7

    From normal probability table, given that z = 2.67, the probability is 0.9962

    This means that the required percentage is 99.6%
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