A certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf.

x 16 18 20

p (x) 0.5 0.3 0.2

Calculate E (X)

Question

Alexis Nolan

Mathematics

5 August, 14:42

A certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf.

x 16 18 20

p (x) 0.5 0.3 0.2

Calculate E (X)

+3

Answers (1)

Know the Answer?

Allen · Answer 1

E (X) = 17.4

Step-by-step explanation:

We can calculate the expected value of a random X variable that is discrete (X takes specific values) as:

E (X) = ∑xp (x) where x are the specific values of x and p (x) the probability associated with this x value.

In this way the expexted value is

E (X) = ∑xp (x) = (16*0.6) + (18*0.3) + (20*0.2) = 8+5.4+4 = 17.4

A certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf.x 16 18 20p (x) 0.5 0.3 0.2Calculate E (X)

A certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf.

x 16 18 20

p (x) 0.5 0.3 0.2

Calculate E (X)