Section 6 - 5: Applications of Probabilities involving a Normal Distribution Completely label both graphs. Show the set-up for the transformation(s). Write an algebraic probability statement for the final answer. 1. The population of adult IQ scores are normally distributed with a mean of 100 points and a standard deviation of 15 points. 1A) What is the probability that if I select one of the adults at FLC at random that their IQ score would be less than 95? convert x = 95 to z: (x - Ux) (95 -100) Z = 15 X = 95 MY = 100 The area to the left of z = 0, - 15 P( x 132 ) =1 continued. The population of adult IQ scores is normally distributed with a mean of 100 points and a standard deviation of 15 points. 1C) What is the probability that if I select one of the adults at FLC at random that their IQ score would be between 80 and 120 points? 80 My = 100 120 X 0 =15 convert 120 to z, = The area to the left of z2 = convert 80 to Z, = The area to the left of Z1 = P(80 245 ) = 2B) What is the probability that if I randomly select one of the women at the maternity ward her pregnancy lasted between 280 and 308 days? Mx - 268 280 308 X 0, =15 P( 280