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?
To find k, you need to use the fact that the sum of all the probabilities in a probability distribution must add up to 1. In other words, you need to solve the equation:
P(1) + P(2) + P(3) = 1
Substituting the given expressions for each probability, you have:
3k + 4k + 5k = 1
Simplifying the equation:
12k = 1
To find k, divide both sides of the equation by 12:
k = 1/12
Therefore, the value of k for the probability distribution is 1/12.