Question

Assume that the random variable X is normally distributed, with mean 60 and standard deviation - 14. Compute the probability P156X565) Be sure to draw a normal curve the corresponding to the probability shaded Click here to view the standard normal distribution table (page 1) Click here to view the standard normaltaistribution table (page 21 Draw a normal curve with the area corresponding to the probability shaded. Choose the correct graph below ОА ОВ. Ос. OD 5606 The probability P(56<X266) is Round to four decimal places as needed)

Answer 1

Puja No Given, Xu Ncele 60, 6:14) Now, we have to find P(56 < x <66) P 09 -9570 < Xoel <66-50 14 160) 14 since てこ X-el G P(56<x<66) - P(-0.2g < Z <0.43) = 0 (0.43 ) - 0 (-0.29) 0.6664 0.3859 (from Excel ? P(56< X <66) 0 2805 56 65 RED

Given XnNL 4 - 50 6-7 Now lale have find, P (34 < x 265) . P (34.50 (34,50 < xam 65-50 7 since z х اللي لا 6 P (34 <x<65) - P (-2:29 <z <2:14) $ (2:14). (-2.29) o.9838 Ollo (z value from Excel P134 cx xos) o 97 28 1 34 65 *33*=

Result P( 5 6 < X < 6 6 1 280s P (34 < x <65) u 0.9768