1 If a member is randomly picked from the population that th

1. If a member is randomly picked from the population that the above graph represents, what is the probability the member will be from the shaded area? (Note that the X variable is distributed normally.)

Solution

So the probability the member will be from the shaded area is

P(152<X<162) = P((152-149)/5.41<(X-mean)/s <(162-149)/5.41)

=P(0.55<Z<2.40)

=0.2830 (from standard normal table)