A random variable X has the probability distribution :
For the events E = {X is a prime number} and F = {X < 4}, the probability P(E ∪ F) is |
0.50 0.77 0.35 0.87 |
0.77 |
E = {X is a prime number} P(E) = P(2)+ P(3)+ P(5)+ P(7) = 0.62 , F = {x < 4} P(F) = P(1)+ P(2)+ P(3) = 0.50 and P(E ∩ F) = P(2)+ P(3) = 0.35 ∴ P(E ∪ F) = P(E)+ P(F)− P(E ∩ F) = 0.62 + 0.50 − 0.35 = 0.77 . |