X and Y are two random independent events. It is known that P(X) = 0.40 and $${\text{P}}\left( {{\text{X}} \cup {{\text{Y}}^{\text{C}}}} \right) = 0.7.$$ Which one of the following is the value of $${\text{P}}\left( {{\text{X}} \cup {\text{Y}}} \right)\,?$$
A. 0.7
B. 0.5
C. 0.4
D. 0.3
Answer: Option A
Related Questions on Probability and Statistics
A coin is tossed 4 times. What is the probability of getting heads exactly 3 times?
A. $$\frac{1}{4}$$
B. $$\frac{3}{8}$$
C. $$\frac{1}{2}$$
D. $$\frac{3}{4}$$
A. 1 and $$\frac{1}{3}$$
B. $$\frac{1}{3}$$ and 1
C. 1 and $$\frac{4}{3}$$
D. $$\frac{1}{3}$$ and $$\frac{4}{3}$$
A. E(XY) = E(X) E(Y)
B. Cov (X, Y) = 0
C. Var (X + Y) = Var (X) + Var (Y)
D. E(X2Y2) = (E(X))2 (E(Y))2
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