Question

The total grams of fat in three different desserts are 16 g, 24 g, and 30 g. The probablity of choosing a dessert with 16 grams of fat is 14 . The probability of choosing a dessert with 24 grams of fat is 712 . The probability of choosing a dessert with 30 grams of fat is 16 . What is the expected value of the grams of fat in a dessert?

Answer 1

23

Explanation:

The expected value is given by:

`E(X)=\bar X=\sum x\cdot P(x)`

We have that the probability of choosing a dessert of 16 grams of fat is
`(1)/(4)`

We have that the probability of choosing a dessert of 24 grams of fat is
`(7)/(12)`

We have that the probability of choosing a dessert of 30 grams of fat is
`(1)/(6)`

The expected value is

`E(X)=16*(1)/(4)+24*(7)/(12)  +30*(1)/(6)`

`E(X)=4+14  +5`

`E(X)=23`