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. ( Shaded between 104 and 130)

Answer 1

Solution :

solution

Given that ,

mean = = 100

standard deviation = = 15

P(104< x < 130) = P[(104 -100) /15 < (x - ) / < (130-100) /15 )]

= P( 0.27< Z <2 )

= P(Z < 2) - P(Z < 0.27)

Using z table   

= 0.9772 -0.6064

probability=  0.3708