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In: Statistics and Probability

Suppose that IQ is normally distributed with mean of 100 and standard deviation of 10. Compute...

Suppose that IQ is normally distributed with mean of 100 and standard deviation of 10. Compute the following:

  1. What is the probability that a randomly selected individual has IQ greater than 115? (2 pts)
  2. What is the probability that a randomly selected individual has IQ between 90 and 100? (3 pts)

Solutions

Expert Solution

Let define a random variable X that represent lQ of individuals.

The random variable X is normally distributed with mean 100 and standard deviation 10.

(a) What is the probability that a randomly selected individual has IQ greater than 115?

Solution::

We need to find P(X>115)

The probability is 0.0668

(b)What is the probability that a randomly selected individual has IQ between 90 and 100?

Solution::

We need to find P(90<X<100)

The probability is 0.3413

orchestra answered 2 years ago
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