Consider the sample space S = {-3,-1, 0, 2, 4} and the events A = {-1,...
Consider the sample space S = {-3,-1, 0, 2, 4} and the events A = {-1, 0}, B = {0, 2}, and C = {-3, 0, 4} derived from the discrete random variable X. Let the probability of each outcome be as listed in the table below. Outcome (X) Probability −3 0.10 −1 0.20 0 0.30 2 c 4 0.25
Outcome (X) l Probability
-3 0.10
-1 0.20
0 0.30
2 c
4 0.25
a) Find the value of the constant c.
b) Draw a Venn diagram to illustrate the sample space S and the events A and B only
c) Find the conditional probability P(A | C).
d) Find the mean of the random variable X.
e) Find the variance of the random variable X.
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Consider the sample space S = {-3,-1, 0, 2, 4} and the events A
= {-1,...
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