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Forum index » Science and Technology » Math » Probability » Prediction
Help with statistics problem over faulty pixels
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David Hartley
science forum addict


Joined: 02 Jun 2005
Posts: 86

PostPosted: Tue May 23, 2006 12:33 pm    Post subject: Help with statistics problem over faulty pixels Reply with quote

Hi,

A company, A, sells TFT monitors. Lets say it buys 1000 monitors of a
particular type, of which 20 may have minor pixel faults.

Customers may buy at one price, say 200GBP, where they will be
guaranteed to get a pixel perfect monitor. They may buy at a lower
price, say 150GBP, where they will get one with pixel faults, if one
has already been identified when choosing a pixel perfect one for a
200GBP customer. Otherwise they will get one chosen at random from the
remaining stock.

Company B sells the same stock at 150GBP. So, presumably, they have a 49
in 50 chance of getting a perfect monitor.

Is there any way in which statistics could be used to assist a customer
in choosing whether to buy from A or B?

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Michael Zedeler
science forum beginner


Joined: 29 Nov 2005
Posts: 17

PostPosted: Tue May 23, 2006 11:08 pm    Post subject: Re: Help with statistics problem over faulty pixels Reply with quote

Palindr☻me wrote:

Quote:
A company, A, sells TFT monitors. Lets say it buys 1000 monitors of a
particular type, of which 20 may have minor pixel faults.

Customers may buy at one price, say 200GBP, where they will be
guaranteed to get a pixel perfect monitor. They may buy at a lower
price, say 150GBP, where they will get one with pixel faults, if one
has already been identified when choosing a pixel perfect one for a
200GBP customer. Otherwise they will get one chosen at random from the
remaining stock.

Company B sells the same stock at 150GBP. So, presumably, they have a 49
in 50 chance of getting a perfect monitor.

Is there any way in which statistics could be used to assist a customer
in choosing whether to buy from A or B?

It depends on the goal. Since you haven't specified how important it is
to get a monitor without pixel faults, it isn't possible to compare
the two models.

If you want to optimize quality alone, choose company As offer at
200GBP. If you want to get the lowest price (and best value for the
money), choose company Bs offer.

If you are able to add one further constraint, there will be something
less trivial to calculate. It could be a fee you can pay to have a
flawed monitor changed for a new one or something like that.

There is one less trivial question, you can ask with the given
information, which is: how likely will a customer using the GBP150
schedule from company A be to get a flawed monitor?

Regards,

Michael.
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