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)?

To find the value of P(X = 5), we can use the fact that the sum of the probabilities for all possible values of a discrete random variable must equal 1. In this case, X can take on the values 1, 3, and 5, so: P(X = 1) + P(X = 3) + P(X = 5) = 1 We are given that P(X = 1) = 0.1 and P(X = 3) = 0.3, so we can plug these values into the equation: 0.1 + 0.3 + P(X = 5) = 1 Now, solve for P(X = 5): 0.4 + P(X = 5) = 1 Subtract 0.4 from both sides: P(X = 5) = 1 - 0.4 P(X = 5) = 0.6 So, the value of P(X = 5) is 0.6.