Question

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is less than or equal to 2". Let B be the event "the outcome is less than 4". Find P(A and B). Outcome Probability 1 0.05 2 0.3 3 0.14 4 0.28 5 0.17 6 0.06

Answer 1

solution

For this case we have the following info given:

X P(x)

1 0.05

2 0.3

3 0.14

4 0.28

5 0.17

6 0.06

And we want to find this probability:

P(A) = P(X <= 2) = 0.05+0.3= 0.35

P(B)= P(X<4)= P(X<= 3)= 0.05+0.3+0.14 = 0.49

And we want this probability: