Question

Calculate the expected value of g(X)=2X+3, where X is a random variable with probability distribution


x 0 1 2 3
f(x) 1/4 1/8 1/2 1/8

Answer 1

Answer:

The expected value of a random function is like its average. We see that in the calculation, the expectation is calculated by multiplying each of the values by its relative frequency. Notice, however, that the relative frequency is the frequency divided by the total number of observations.

Answer 2

Answer:

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