Question

A project has three paths and a desired completion time of 43 days. The first path has a 70 percent probability of being completed in 43 days. The second has an 85 percent probability and the third haws a 90 percent probability. What is the probability that the project will be completed on time

Answer 1

Answer: The required probability is 0.82.

Step-by-step explanation:

Since we have given that

Number of projects = 3

So, probability of getting each project = $\dfrac{1}{3}$

Probability of first path being completed in 43 days = 0.7

Probability of second path being completed in 43 days = 0.85

Probability of third path being completed in 43 days = 0.90

So, Probability that the project will be completed on time would be

$\dfrac{1}{3}(0.7+0.85+0.90)\\\\=\dfrac{1}{3}\times 2.45\\\\=0.82$

Hence, the required probability is 0.82.