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1
GATE EE 2008
MCQ (Single Correct Answer)
+1
-0.3
$$X$$ is uniformly distributed random variable that take values between $$0$$ and $$1.$$ The value of $$E\left( {{X^3}} \right)$$ will be
A
$$0$$
B
$$1/8$$
C
$$1/4$$
D
$$1/2$$
2
GATE EE 2005
MCQ (Single Correct Answer)
+1
-0.3
If $$P$$ and $$Q$$ are two random events, then which of the following is true?
A
Independence of $$P$$ and $$Q$$ implies that probability $$\,\,\left( {P \cap Q} \right) = 0\,\,$$
B
Probability $$\,\,\left( {P \cap Q} \right) \ge \,\,$$ probability $$(P)$$ $$+$$ probability $$(Q)$$
C
If $$P$$ and $$Q$$ are mutually exclusive then they must be independent
D
Probability $$\,\,\left( {P \cap Q} \right) \le \,\,$$ probability $$(P)$$
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