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Probability that a randomly selected adult

Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15.

Find the probability that a randomly selected adult had an IQ greater than 120.0 (the requirement for membership in the Mensa organization). Round to the nearest thousandth.

Also what is the probability that a random person will have an IQ between 100.0 and 120.0?

What would be the 95th percentile IQ scores?

What is the probability that a mean IQ score for a random sample of 40 people will exceed 104.0?

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## Q : String of bernoulli trials

Consider a string of Bernoulli trials with probability of success equal to p and let Y1 be the number of trials untial the first success and Y2 be the number of trials untial the second success.