Question: Suppose that weight of adolescents is being studies by a health organization and that the accompanying table describes the probability distribution for three randomly selected adolescents, where x is the number of people who are considered morbidly obese.

X P(x)

0 0.111

1 0.215

2 0.450

3 0.224

a. Fill out the table

x P(x) x *P(x) x^2 x^2*P(x)

b. Find the mean and standard deviation for the given set of values

c. Find the interval for usual values and determine if it is unusual to have no obese subjects among three randomly selected adolescents.