MATH SOLVE

7 months ago

Q:
# Let X be a discrete random variable with range {1, 3, 5} and whose probability function is f(x) = P(X = x). If it is known that P(X = 1) = 0.1 and P(X = 3) = 0.3. What is the value of P(X = 5)?

Accepted Solution

A:

To find the value of P(X = 5), you can use the fact that the sum of the probabilities for all possible values of a discrete random variable must equal 1. So:
P(X = 1) + P(X = 3) + P(X = 5) = 1
Given that P(X = 1) = 0.1 and P(X = 3) = 0.3, you can rearrange the equation to solve for P(X = 5):
P(X = 5) = 1 - (P(X = 1) + P(X = 3))
P(X = 5) = 1 - (0.1 + 0.3)
P(X = 5) = 1 - 0.4
P(X = 5) = 0.6