Question

Just now

Mathematics
College
Look at the relative-frequency table below of the probability distribution of the discrete random variable X, with X = "the number of pets in a household."
x P(X = x)
0 .09
1 .29
2 .42
3 .15
4 .05
What is the expected value of pets in a randomly selected household?

Answer 1

Answer: To find the expected value of X, we need to multiply each possible value of X by its probability and then add up the results:

E(X) = Σ(x * P(X = x))

where Σ denotes the sum over all possible values of X.

Using the table given, we have:

E(X) = 0 * 0.09 + 1 * 0.29 + 2 * 0.42 + 3 * 0.15 + 4 * 0.05

E(X) = 0 + 0.29 + 0.84 + 0.45 + 0.2

E(X) = 1.78

Therefore, the expected value of pets in a randomly selected household is 1.78.

Explanation: