Let the (discrete) random variable X be the result of a single roll of a standar

Question

Let the (discrete) random variable X be the result of a single roll of a standard six-sided die with probability distribution d(x) = P(X = x) given by: d(1) = 0.1. d(2)=0.2 d(3) = 0.3, d(4)=0.15, d(5)=0.1. What is d(6)? Same Situation: Let the (discrete) random variable X be the result of a single roll of a standard six-sided die with probability distribution d(x) = P(X= x) given by: d(1)=0.1. d(2) = 0.2 d(3)=0.3. d(4)=0.15. d(5) = 0.1. (Also, you will need to have calculated d(6).) What is E[X](also known as mu_x)?

Explanation / Answer

0.1 + 0.2 + 0.3 + 0.15 + 0.1 + x = 1

x = 0.15

d(6) = 0.15

E(X) = 1*0.1 + 2*0.2 + 3*0.3 + 4*0.15 + 5*0.1 + 6*0.15

E(X) = 3.4

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