I need to find k for the probability distribution:

P(x)=k(x+2) for x=1,2,3

I tried subbing in the x-values, which gave me:
P(1)=3k
P(2)=4k
P(3)=5k

But I still have no idea what I need to do to find k.

Guidance, please?

Are you sure you were asked to find k?

I don't see how you can find k with the
INFO given. You found P(x); i don't see
how you can do anymore.

To find the value of k for the probability distribution P(x) = k(x + 2), you need to use the fact that the sum of all the probabilities in a probability distribution must equal 1.

In this case, you have the probabilities P(1) = 3k, P(2) = 4k, and P(3) = 5k.

To find k, you can set up the equation:

P(1) + P(2) + P(3) = 3k + 4k + 5k = 12k

Since this sum should equal 1, you can set it equal to 1:

12k = 1

To solve for k, divide both sides of the equation by 12:

k = 1/12

So, the value of k for the probability distribution P(x) = k(x + 2) is 1/12.