Question

Question Help Assume that adults have IQ scores that are normally distributed with a mean of = 100 and a standard deviation ou 15. Find the probability that a randomly selected adult has an IQ between 80 and 120 Click to view page 1 of the table. Click to view page 2 of the table The probability that a randomly selected adult has an IQ between 80 and 120 is (Type an integer or decimal rounded to four decimal places as needed.)

Answer 1

Given that, mean (μ) = 100 and standard deviation $(\sigma)$ = 15

We want to find, P(80 < X < 120)

P(80 < x < 120 D: 80 - 100 = P150 X - 120 – 100 = P(-1.33 <Z<1.33) = 2* P(Z < 1.33) - 1 = (2*0.9082) - 1 = 1.8164 - 1 = 0.8164

Therefore, the probabilitiy that a randomly selected adult has a IQ between 80 and 120 is 0.8164