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

Mathematics

Luciano Brooks

28 December, 18:13

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

+2

Answers (1)

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Teagan Morris · 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