Question

Use the following probability distribution in order to answer the probabilities that follow. x P(X = x) 1 0.05 2 0.22 3 0.35 4 0.30 5 0.08 (a) Find P(X = 2).

Answer 1

P(X = 2) = 0.22.

Explanation:

We are given with the following probability distribution below;

X P(X)

1 0.05

2 0.22

3 0.35

4 0.30

5 0.08

Total 1

As the sum of all the probabilities is equal to 1, which means that this is a valid probability distribution.

Now, from the table above P(X = 2) = 0.22.

Hence, the probability that the X is equal to 2 is 0.22 or 22%.