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Probability distribution (S1)

Hi,

Please could someone help me with this question.

Have to list the probability distribution using:

P(W=w)
= k(w-1) w = 2,3,4,5,6,7
= k(13-w) w = 8,9,10,11,12 (the formula changes from w = 8 onwards)

I realise I need to find k to do anything, but not sure how?!

Thanks
P(W = 2 or 3 or ... or 11 or 12) = 1.
generalebriety
P(W = 2 or 3 or ... or 11 or 12) = 1.

Don't understand that at all, sorry! :s-smilie:
Darkest Knight
Don't understand that at all, sorry! :s-smilie:

Ok, well, W has to take some value (either 2, 3, 4, ..., 11 or 12). It can't just not take any of those values at all, or take something weird like 50. Right? So, the probability that W takes one of those values has to add up to 1.
generalebriety
Ok, well, W has to take some value (either 2, 3, 4, ..., 11 or 12). It can't just not take any of those values at all, or take something weird like 50. Right? So, the probability that W takes one of those values has to add up to 1.

Okay yes, I get that, but I don't understand how that helps to find k? Thanks :smile:
anyone?
Darkest Knight
Okay yes, I get that, but I don't understand how that helps to find k? Thanks :smile:

Add up all the probabilities and set them equal to 1. You'll be able to solve for k. :s-smilie:

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