Assume that the weights of a male students X is normally dis

Assume that the weights of a male students, X is normally distributed with a mean weight of 160 pounds and standard deviation of 20 pounds. out of 1000 men, how many students weigh more than or exactly 190 pounds?

Solution

Assume that the weights of a male students, X is normally distributed with a mean weight of 160 pounds and standard deviation of 20 pounds. out of 1000 men, how many students weigh more than or exactly 190 pounds?

Z value for 190, z=(190-160)/20 =1.5

P( x >190) = P(z >1.5) =0.0668

0.0668*1000=668

There are 668 students weigh more than or exactly 190 pounds.