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.
Test the following function to determine whether it is a probability function. If it is not, then make it into a probability function. (Give your answers correct to one decimal place.)
R(x) = 0.2, for x = 0, 1, 2, 3, 4
(a) List the distribution of probabilities.
R(0) =
R(1) =
R(2) =
R(3) =
R(4) =
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.
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