1
GATE ECE 2014 Set 3
Numerical
+2
-0
A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is ________.
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2
GATE ECE 2014 Set 3
Numerical
+2
-0
Let $${X_1},{X_{2,}}$$ and $${X_{3,}}$$ be independent and identically distributed random variables with the uniform distribution on $$\left[ {0,1} \right].$$ The probability $$P\left\{ {{X_1} + {X_2} \le {X_3}} \right\}$$ is _______.
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3
GATE ECE 2014 Set 2
Numerical
+2
-0
Let $$X$$ be a random variable which is uniformly chosen from the set of positive odd numbers less than $$100.$$ The expectation, $$E\left[ X \right],$$ is __________.
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4
GATE ECE 2014 Set 1
Numerical
+2
-0
Let $$\,{X_1},\,\,{X_2}\,\,$$ and $$\,{X_3}\,$$ be independent and identically distributed random variables with the uniform distribution on $$\left[ {0,1} \right].$$ The probability $$p$$ {$${X_1}$$ is the largest} is __________.
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