1. ## probability question

Hello, I need help with the following problem
I would appreciate it if you could help me.

A supermarket sells 4 competitive items a, b, c and d.
If 300 customers want to buy ,in one day , one of these items,
Which quantity of each item should be available at the beginning of the day
So that no more than 1% of the customers will not be able to find the
Item they are looking for.

2. ## Re: probability question

HINT: there is no probability involved.

3. ## Re: probability question

It can't be that simple..

1% = 3 customers
So 297 items per category??

That sounds totaly wrong to me :/

4. ## Re: probability question

If you have the following assumptions:

- each customer will buy only 1 item from 1 category
- each customer is independent to each other
- you know the probabilities that a randomly selected customer will buy category A, B, C and D respectively

then the demand of the 4 categories

will jointly follows the multinomial distribution

and your question will be like to determine the minimum supply

such that

Note this is a random event. So you must state with how much "confidence" you have for this to happen. If you did not state any confidence, we may assume to be 100% and you obtain the answer 297 which does not involve any probability as said by staassis.

5. ## Re: probability question

oh thank you so much for making that clear to me.. i have spent more than 2 days searching for the way to handle it. i really appreciate your time

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