Hi

3. Suppose the score on an IQ test follows a normal distribution with mean 100 and standard deviation 15. Let X be the IQ score of a randomly selected person. a. What is the probability that a randomly selected person has an IQ of 101? b. What is the probability that a randomly selected person has an IQ between 115 and 130? c. Would it be unusual for a person to have an IQ less than 60? Explain. d. What IQ score represents the 20th percentile of all IQ scores? e. Suppose that on another planet the IQ of a creature (may not be human) Y follows the normal distribution. The probability that Y exceeds 80 is 0.975, and the probability that Y exceeds 120 is 0.95. Find u and o. Are these values comparable with the expected IQ of a human? Explain