1
GATE ECE 2009
+2
-0.6
Consider two independent random variables $$X$$ and $$Y$$ with identical distributions. The variables $$X$$ and $$Y$$ take values $$0, 1$$ and $$2$$ with probability $$1/2,$$ $$1/4$$ and $$1/4$$ respectively. What is the conditional probability $$P(X+Y=2/X-Y=0)?$$
A
$$0$$
B
$$1/16$$
C
$$1/6$$
D
$$1$$
2
GATE ECE 2009
+2
-0.6
A discrete random variable $$X$$ takes value from $$1$$ to $$5$$ with probabilities as shown in the table. A student calculates the mean of $$X$$ as $$3.5$$ and her teacher calculates the variance to $$X$$ as $$1.5.$$ Which of the following statements is true?
A
Both the student and the teacher are right
B
Both the student and the teacher are wrong
C
The student is wrong but the teacher is right
D
The student is right but the teacher is wrong
3
GATE ECE 2007
+2
-0.6
An examination consists of two papers, paper $$1$$ and paper $$2.$$ The probability of failing in paper $$1$$ is $$0.3$$ and that in paper $$2$$ is $$0.2.$$ Given that a student has failed in paper $$2,$$ the probability of failing in paper $$1$$ is $$0.6.$$ The probability of a student failing in both the papers is
A
$$0.5$$
B
$$0.18$$
C
$$0.12$$
D
$$0.06$$
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