Previous in Forum: Calculate the probability   Next in Forum: Integrate 1/x^2+80x+1600
Close
Close
Close
12 comments
Rate Comments: Nested
Associate

Join Date: Sep 2014
Location: Guang Zhou, China
Posts: 26

calculate the probability

03/21/2015 1:04 PM

The time to complete a construction project is normally distributed with a mean of 80 weeks and a standard deviation 8 weeks.

(i) What is the probability that the project will be completed in 84 weeks or less?

(ii) What is the probability that the project will be completed in 92 weeks or less?

(iii) What is the probability that the project will take longer than 90 weeks?

__________________
Time waits for no one.
Register to Reply
Pathfinder Tags: mathematic;probability
Interested in this topic? By joining CR4 you can "subscribe" to
this discussion and receive notification when new comments are added.
Guru

Join Date: Oct 2008
Posts: 42355
Good Answers: 1693
#1

Re: calculate the probability

03/21/2015 1:08 PM

Do your own homework.

Rule:

Do your own homework. CR4 is not a homework cheat site; however, if you have questions about understanding concepts or how a portion of a problem is derived, these types of questions will be accepted.

Register to Reply
Guru
Engineering Fields - Electrical Engineering - Been there, done that. Engineering Fields - Control Engineering - New Member

Join Date: Dec 2008
Location: Long Island NY
Posts: 15600
Good Answers: 981
#2

Re: calculate the probability

03/21/2015 1:36 PM
  • What is the probability distribution?
  • Will this be continuous time or discrete time distribution?
  • Will you be able to defend your answer when the project gets completed at a different time than you predicted?

Do your own homework or at the very least show us some initiative that you understand some of your homework.

__________________
"Don't disturb my circles." translation of Archimedes last words
Register to Reply
Associate

Join Date: Sep 2014
Location: Guang Zhou, China
Posts: 26
#4
In reply to #2

Re: calculate the probability

03/21/2015 2:42 PM

In my opinion, if we did not replace after each draw, for example, the answer of ii should be:

P (B) = 4/20=0.25

P(BR)= P(B)x P(R)=(4/20)X(6/20)=0.06

P=P(R|B)= P(RB)/P(B)=0.24

but when considering replacement, it should be:

P=P(BR)= P(B)x P(R)=(4/20)X(6/20)=0.06

__________________
Time waits for no one.
Register to Reply
Guru
Engineering Fields - Electrical Engineering - Been there, done that. Engineering Fields - Control Engineering - New Member

Join Date: Dec 2008
Location: Long Island NY
Posts: 15600
Good Answers: 981
#10
In reply to #4

Re: calculate the probability

03/21/2015 10:55 PM

You're mixing up your threads here. However, this is a good place to insert some pertinent information.

To calculate the probability that a project task will be accomplished can be reasonably approached using a Weibull distribution. Seeing your other thread on probability, this problem of predicting when a project will be completed and the mathematics of a Weibull distribution is beyond you.

I'm not sure if you are behind in your schooling or reaching farther than you should.

__________________
"Don't disturb my circles." translation of Archimedes last words
Register to Reply
Associate

Join Date: Sep 2014
Location: Guang Zhou, China
Posts: 26
#11
In reply to #10

Re: calculate the probability

03/21/2015 11:19 PM

I have realized that whether I do well in exam or not, something certain is that I have gone wrong because I used to study just for study itself, exam and I don't care about whether I can remember it or not at next term. But this is a terrible habit which I have to change now. It's you who make me realize my own problem and remind me of self-examination. Thanks a lot.

__________________
Time waits for no one.
Register to Reply
Associate

Join Date: Sep 2014
Location: Guang Zhou, China
Posts: 26
#5
In reply to #2

Re: calculate the probability

03/21/2015 2:50 PM

This is my thought.

__________________
Time waits for no one.
Register to Reply
Associate

Join Date: Sep 2014
Location: Guang Zhou, China
Posts: 26
#9
In reply to #2

Re: calculate the probability

03/21/2015 10:36 PM

Yeah, I agree with you. I should exchange thoughts instead of using someone else's answer. I will do it time. Thank you for reminding me.

__________________
Time waits for no one.
Register to Reply
Guru

Join Date: Apr 2010
Location: About 4000 miles from the center of the earth (+/-100 mi)
Posts: 9910
Good Answers: 1141
#3

Re: calculate the probability

03/21/2015 2:22 PM

(i) 0

(ii) 0

(iii) 0

Experience has shown that all projects have at least a 20% overrun.

Register to Reply
Guru

Join Date: Feb 2011
Posts: 7025
Good Answers: 207
#6

Re: calculate the probability

03/21/2015 3:34 PM

50-50

Register to Reply
Guru
Hobbies - DIY Welding - Wannabeabettawelda

Join Date: May 2007
Location: Annapolis, Maryland
Posts: 7940
Good Answers: 458
#7

Re: calculate the probability

03/21/2015 7:02 PM

Depends on whether the environmental impact statements have been approved by the local authorities and the EPA yet. If they are not yet approved, the project probably won't be completed for at least 280 weeks.

Register to Reply
Associate

Join Date: Sep 2014
Location: Guang Zhou, China
Posts: 26
#8
In reply to #7

Re: calculate the probability

03/21/2015 10:23 PM

Haha, you're quite humorous.

__________________
Time waits for no one.
Register to Reply
Guru
Hobbies - Musician - New Member

Join Date: Feb 2012
Posts: 523
Good Answers: 17
#12

Re: calculate the probability

03/23/2015 1:59 PM

Since your data are normally distributed, convert each number of weeks to a z score and consult your table.

i) P(x≤84): z=(84-80)/8=0.5, Answer = 69.15%

ii) P(x≤92): z=(92-80)/8=1.5, Answer = 93.32%

iii) P(x>90)=P(x≤90): z=(90-80)/8=1.25, Answer = 10.56%

Register to Reply
Register to Reply 12 comments
Copy to Clipboard

Users who posted comments:

Brave Sir Robin (1); Fredski (1); Jupiter (5); lyn (1); redfred (2); reward54 (1); Rixter (1)

Previous in Forum: Calculate the probability   Next in Forum: Integrate 1/x^2+80x+1600

Advertisement