Question

Lydia is a project manager and submitted proposals for two different projects, Project X and Project Y to her boss. The probability of getting project X approved is 0.65. The probability of getting project Y approved is 0.77. The probability of getting at least one of the projects approved 0.90. The two projects are independent.
a. True
b. False

Answer 1

Answer:

b. False

Step-by-step explanation:

P(X & Y) = 0.77 + 0.65 - 0.9 = 0.52

P(X) × P(Y) = 0.65×0.77 = 0.5004

Since P(X&Y) and P(X)×P(Y) are not equal, they are not independent