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Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard...

Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard deviation of 18. (b) Write the equation that gives the z score corresponding to a Stanford–Binet IQ test score. z = (x – 100 ) / 18 (c) Find the probability that a randomly selected person has an IQ test score. (Round your answers to 4 decimal places.) 1. P(x > 135) 2. P(x < 89) 3. P(71 < x < 129) − = 4. P(-2.40 < z < 2.40) (d) Suppose you take the Stanford–Binet IQ Test and receive a score of 127. What percentage of people would receive a score higher than yours? (Round your answer to 2 decimal places.) P %

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