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.