12:58 7 Classwork 6.2.pdf Q Math 159 Classwork for 6.2 1) Given X is normally distributed with mean = 100 and SD=15. Use Online Normal Calculator to find the answer: a) Find the probability that X is greater than 124. Find the z-score of 124. Shade the area. Round to 4 decimal places. Use Online Normal calculator. P ( ) = b) Find the probability that X is less than 110. Find the z-score of 110. Shade the area. Round to 4 decimal places. Use Online Normal calculator. P ( ) = c) Find the percentage of X that is between 80 and 120. Find the z-score of 80 and 120. shade the area. Round to 2 decimal of a percent. Use Online Normal Calculator. P ( ) = (in percent) d) Find the percentage of X that is lower than 65 and higher than 135. Find the z-score of 65 and 135. shade the area. Round to 2 decimal of a percent. Use Online Normal calculator. P ( ) = (in percent) 2) IQ scores are normally distributed with mean = 100 and standard deviation = 15. Use the calculator to find the IQ value X that corresponds to the following. Round IQ value to nearest whole number. a) Cutoff for lowest 7% score b) cutoff for the top 5% score P ( ) = P ( Round Cutoff to nearest whole number Round to nearest whole number 3) Heights of male adults are normally distributed with mean of 70.1 in. and standard deviation of 2.8 in. a) If a doorway is 75 inches, what percentage of man are too tall to fit through without bending their head? b) A constructor wants to design a door that fit height at 98 percentile or below. What height will this be? Round to one decimal place of an inch. 4) Conkiss from Arvind's Rakerv have diameters that are normally distributed with a mean of 2 15 inches OF 3 Dashboard Calendar To Do Notifications Inbox12:58 7