Question

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)?

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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.

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