A software project requires 11 components to be completed within the next three

Question

A software project requires 11 components to be completed within the next three months. Each component is produced by a programming team that operates independently of the other team has a 50% change of finishing on time within the next three months. Is there a 50% change that the project will be finished on time? Choose the correct answer below. A. Yes, there is a 50% chance that the project will be finished on time. B. No, the probability is (0.5^11), which is less than 50%. C. No, the probability is 0.5/11, which is less than 50%. D. No, the probability is 1 - (0.6)^11, which is greater than 50%.

Explanation / Answer

Given there are 11 components to complete project within three months.

EAch component has probability of 0.50 to finish on time, all components are independent

The probability to complete whole project within 3 months of time = 0.5*0.5*...*0.5 = (0.5)11

(for 11components, since they are independent and all has to complete to finish the project )

B) No, the probability is 0.511, which is less than 50%

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