Question

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. z= 95, z=125

Answer 1

ANSWER:

Given that,

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. z= 95, z=125

P(95<x<125) = P(95-100 / 15 < x- / < 125-100 / 15 )

P(95<x<125) = P(-5/15 < Z < 25/15 )

P(95<x<125) = P(-0.33 < Z < 1.67 )

P(95<x<125) = P(Z < 1.67)-P(Z < -0.33)

P(95<x<125) = 0.95254-0.37070

P(95<x<125) = 0.58184

----------------------------------------------------------------------The End ------------------------------------------------------------------------

If you have any doubt please ask me friend and if you are satisfied with my solution please give me thumb up.