The queston asks me to find k for the probability distribution:
P(x)=k(x+2) for x=1,2,3
I have no idea how to solve this... Offer me some guidance, PLEASE!
To find the value of k for the given probability distribution, you need to utilize the properties of a probability distribution.
The sum of the probabilities of all possible outcomes in a probability distribution must equal 1. In other words, the sum of all P(x) values must equal 1.
In this case, you are given the probability distribution function P(x) = k(x+2) for x=1,2,3.
To find the value of k, let's calculate the sum of the probabilities:
P(1) + P(2) + P(3) = k(1+2) + k(2+2) + k(3+2)
Simplifying further:
P(1) + P(2) + P(3) = 3k + 4k + 5k
Now, substitute the given values of P(x) into the equation:
3k + 4k + 5k = 1
12k = 1
To solve for k, divide both sides of the equation by 12:
k = 1/12
Hence, the value of k for the given probability distribution is 1/12.