Can someone help me with this I figured out a similar problem P(x) = xsquare+5 over 50 for x = 1 got 0.12 But having problems on how to plug the numbers into this problem. you don't have to use these numbers but if someone could do an example for me I would appreciate it.

This is a discrete probability function which has the following characteristics:

1. The function is non-negative throughout its domain.
2. ΣR(i)=1 for i∈ domain
From the given data,
R(0)=0.2
R(1)=0.2
...
R(4)=0.2
for a sum of 1.0.

Thank you I was making it harder than it is.

You're welcome!

To find the distribution of probabilities for the function R(x), we need to substitute the given values of x into the function and calculate the corresponding probabilities.

In this case, the function R(x) is already given with specific probabilities assigned to each value of x.

We can directly substitute the values of x in the given function R(x) to find the probabilities:

R(0) = 0.2 (given)
R(1) = 0.2 (given)
R(2) = 0.2 (given)
R(3) = 0.2 (given)
R(4) = 0.2 (given)

So, the distribution of probabilities for the function R(x) is as follows:

R(0) = 0.2
R(1) = 0.2
R(2) = 0.2
R(3) = 0.2
R(4) = 0.2