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

Question

Bradley Moody

Mathematics

28 March, 17:06

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

+1

Answers (1)

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Marissa Mcconnell · Answer 1

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