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baddinlol
 3 years ago
I can't get the right answer for this probability question
baddinlol
 3 years ago
I can't get the right answer for this probability question

This Question is Closed

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0I must use transition matrices

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0The question is; an internet company has 80% of its customers on a dial plan and 20% of the cable plan

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1Can you just put the whole question out, instead of writing in small segments.

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1No worries, it just helps to refer to one post instead of searching each post for parts of a question.

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0An internet company has 80% of its customers on a dial plan and 20% of the cable plan. They decide to bring out a deal which the market manager estimates each month, 20% of the customers on the dial up plan will change to the cable modem plan and 5% of the customers on the cable plan will change to the dial up plan. No customers will stop using the company. After four months, what proportion of the present customers will now be on the dial up plan?

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1Alright, does the question use numbers, or just percentages?

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1I mean, you just listed that there are 80% and 20%, do these percentages represent any numbers?

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0Oh no, they represent probablities

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0if you divide them by 100 i suppose

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1Thats fine, just use any number then. It would make the calculations easier.

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1So, say you have a total of 100 customers. 80% use dial up and 20% use cable

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1now after 1 month, 20% of the dial up customers will use the cable

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1and 5% will use dial up

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1Okay, that would give you the data for 1 month

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1You want to continue doing this for 4 months.

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0But I must do the question using transition matrices

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1Thats fine, Do you know what a transition matrix is?

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0I tried setting up \[\left[\begin{matrix}0.8 & 0.2 \\ 0.05& 0.95\end{matrix}\right]\]

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0I multiplied that by itself 4 times

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1So far, it looks somewhat correct. You are missing

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0And then multiplied it by\[\left(\begin{matrix}0.8 \\ 0.2\end{matrix}\right)\]

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0And i got \[\left(\begin{matrix}0.471875 \\ 0.28203125\end{matrix}\right)\]

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1It would be set up a little differently.

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0How would i set it up?

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1The first row would include the percentages

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1and the next column would be the changes

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0Oh so columns have to add upto 100 (in terms of percentages)?

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1kinda, Its more like each row includes the number of variables. In this case there are 4 months.

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1So I would set up this matrix using a 4x4

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0Oh ok, thanks for your help =D

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1351223751855:dw

zordoloom
 3 years ago
Best ResponseYou've already chosen the best response.1Just continue from here. Hope that somwhat helped
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