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) =
To determine whether the given function R(x) is a probability function, we need to check if the sum of all the probabilities equals 1.
Let's calculate the distribution of probabilities:
R(0) = 0.2
R(1) = 0.2
R(2) = 0.2
R(3) = 0.2
R(4) = 0.2
Now let's check if the sum of all these probabilities equals 1:
Sum = R(0) + R(1) + R(2) + R(3) + R(4)
= 0.2 + 0.2 + 0.2 + 0.2 + 0.2
= 1
Since the sum of all the probabilities is equal to 1, the function R(x) is already a probability function.
Therefore, there is no need to modify the function.