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# Probability and time required project

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The time required to complete a project is known to be normally distributed with a mean of 44 weeks and a standard deviation of 8 weeks.

a) What is the probability that the project is finished in 40 weeks or fewer?
b) What is the probability that the project is finished in 52 weeks or fewer?
c) There is an 95 percent chance that the project will be finished in fewer than how many weeks?

I already have parts a and b done. just need help setting up the equation for part c. Does this require normal distrubition or binomial distribution.

https://brainmass.com/statistics/probability/probability-time-required-project-458285

#### Solution Summary

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## Project Completion and Activity Time

You will be given a list of the activities of a project with completion time estimate for each activity. You will be asked to calculate 7 questions.
(a) Calculate the expected duration of each activity. Also, calculate the expected duration of each path.
(b) Calculate the variance of each activity and variance of each path. Also, calculate the standard
deviation of each activity and the standard deviation of each path.
(c) Identify the critical path(s) (based on the expected durations).
(d) What is the probability that the project can be completed within 49 weeks? What is the probability
that the project will NOT be completed within 49 weeks?
(e) What is the probability that the project will require 47 weeks or more? What is the probability that
the project will NOT require more than 47 weeks?
(f) What is the probability that the project will be completed between 45 and 50 weeks?

PLEASE SEE ATTACHED EXCEL SHEET FOR THE DATA.

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