he mean of a normal distribution is 413 pounds The standard

he mean of a normal distribution is 413 pounds. The standard deviation is 12 pounds. What is the area between 418 pounds and the mean of 413 pounds?

Solution

P(413<X<418) = P((413-413)/12 <(X-mean)/s <(418-413)/12)

=P(0<Z<0.4167) =0.1615 (from standard normal table)