An important measure of the performance of a locomotive is i

An important measure of the performance of a locomotive is its \"adhesion,\" which is the locomotive\'s pulling force as a multiple of its weight. The adhesion of one 4400-horsepower diesel locomotive model varies in actual use according to a Normal distribution with mean = 0.4 and standard deviation = 0.033

What proportion of adhesions (± 0.001) measured in use are higher than 0.4? _______

What proportion of adhesions (± 0.001) are between 0.4 and 0.56? _________-

Solution

Mean =0.4

std dev = 0.033

P(X>0.4) = 0.5 (From std normal distribution table)

P(0.4<x<0.56)

= P(0<z<4.84)

= 0.5