2. A small software development project at Krishna Dhir's firm has five major activities. The times (in days) are estimated and provided in the table below: ActivityImmediatePredecessorambA−258B−369CA4710DB2514EC333 Part 2 d) The probability that it will take more than 17 days to complete this projectbe is __ (keep two decimal places). e) The due date that yields a 98% chance of completion is ____ days (keep two decimal places).

A network diagram related to the project shows the sequence of the task that is performed to complete a project. It mainly shows the relation of each task with the time duration taken by that activity with respect to the completion of the project. Each task is shown with the boxes connected with each other with arrows. The network diagram can be of two types: - CPM and PERT.Formulas:- Outcome:- Formulas:- Outcome:- Critical path=A-C-E Project duration=15 days(d) To calculate the probability we need to calculate the Z score:- Z Score=x-μσx=17μ=15σ=1+1+0 =1.4142Z score=17-151.4142 =1.41423P-value from Z-Table:P(x>17) = 1 - P(x<17) = 0.078648Probabaility=0.078648×100 =7.86% (e) Z value corresponding to 98% is 2.326 2.326=x-151.41422.326×1.4142=x-153.2894+15=x18.29=x(d) The probability that it will take more than 17 days to complete this project is 7.86% (e) The due date that yields a 98% chance of completion is 18.29 days.

Answered: d) The probability that it will take…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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2. A small software development project at Krishna Dhir's firm has five major activities. The times (in days) are estimated and provided in the table below:

Activity	Immediate Predecessor	a	m	b
A	−	2	5	8
B	−	3	6	9
C	A	4	7	10
D	B	2	5	14
E	C	3	3	3

Part 2

d) The probability that it will take more than 17 days to complete this projectbe is __ (keep two decimal places).

e) The due date that yields a 98% chance of completion is ____ days (keep two decimal places).

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