Question

Score! U OI I PL 12 UI 42127 LUMI HW Score! 34.92%, 14.07 01 42 PLS 6.2.8-T Question Help 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. 104 126 The area of the shaded region is (Round to four decimal places as needed.)

Answer 1

Solution :

Given that ,

mean = $\mu$ = 100

standard deviation = $\sigma$ = 15

P(104 < x < 126) = P[(104-100 / 15) < (x - $\mu$ ) / $\sigma$ < (126-100) / 15)]

                          = P(0.2667 < z < 1.7333)

                          = P(z < 1.7333) - P(z < 0.2667)

                          = 0.9585 - 0.6051

          Probability = 0.3534‬

The area of the shaded region is 0.3534