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Assume that IQ is normally distributed, with mean 100and standard deviation 15.(a) What is the probability that a randomly selected personsIQ is over 120?(b) Find the values of Q1, Q2, and Q3 for IQ.(c) Find the values of lower = Q1 - 1.5(Q3 - Q1) andupper = Q3 + 1.5(Q3 - Q1) for IQ. Recall that these were cutoffs for outliers.(d) Find the probability of an outlier for IQ for a single person based on your values for (c).(e) If we randomly selected 10 people, what is the probability their average IQ is over 105?

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