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Let the probability density function of a random variable x be given as f(x) = ae$$-$$2|x| The value of a is _________....
GATE EE 2022
Assume that in a traffic junction, the cycle of the traffic signal lights is $$2$$ minutes of green (vehicle does not st...
GATE EE 2017 Set 2
An urn contains $$5$$ red balls and $$5$$ black balls. In the first draw, one ball is picked at random and discarded wit...
GATE EE 2017 Set 2
Two coins $$R$$ and $$S$$ are tossed. The $$4$$ joint events $$\,\,\,\,\,\,{H_R}{H_S},\,\,\,\,{T_R}{T_S},\,\,\,\,{H_R}{T... GATE EE 2015 Set 2 A fair coin is tossed$$n$$times. The probability that the difference between the number of heads and tails is$$(n-3)$... GATE EE 2014 Set 1 A continuous random variable $$X$$ has a probability density function $$f\left( x \right) = {e^{ - x}},0 &lt; x &lt; \in... GATE EE 2013 Two independent random variables$$X$$and$$Y$$are uniformly distributed in the interval$$\left[ { - 1,1} \right].$$... GATE EE 2012 A box contains$$4$$white balls and$$3$$red balls. In succession, two balls are randomly selected and removed from th... GATE EE 2010 Assume for simplicity that$$N$$people, all born in April (a month of$$30$$days) are collected in a room, consider th... GATE EE 2009$$X$$is uniformly distributed random variable that take values between$$0$$and$$1.$$The value of$$E\left( {{X^3}} ... GATE EE 2008 If $$P$$ and $$Q$$ are two random events, then which of the following is true? GATE EE 2005 ## Marks 2 More A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $$3$$ tosses. Let the random ... GATE EE 2017 Set 2 Candidates were asked to come to an interview with $$3$$ pens each. Black, blue, green and red were the permitted pen co... GATE EE 2016 Set 1 Let the probability density function of a random variable $$X,$$ be given as: $${f_x}\left( x \right) = {3 \over 2}{e^... GATE EE 2016 Set 2 The probabilities that a student passes in Mathematics, Physics and Chemistry are$$m, p$$and$$c$$respectively. Of th... GATE EE 2015 Set 1 Given Set$$\,\,\,A = \left\{ {2,3,4,5} \right\}\,\,\,$$and Set$$\,\,\,B = \left\{ {11,12,13,14,15} \right\},\,\,\,$$... GATE EE 2015 Set 1 A random variable$$X$$has probability density function$$f(x)$$as given below:$$$\,\,f\left( x \right) = \left\{ {\...
GATE EE 2015 Set 1
Two players, $$A$$ and $$B,$$ alternately keep rolling a fair dice. The person to get a six first wins the game. Given t...
GATE EE 2015 Set 1
Lifetime of an electric bulb is a random variable with density $$f\left( x \right) = k{x^2},$$ where $$x$$ is measured ...
GATE EE 2014 Set 3
Let $$X$$ be a random variable with probability density function $$f\left( x \right) = \left\{ {\matrix{ {0.2} &amp; ... GATE EE 2014 Set 2 Consider a die with the property that the probability of a face with$$'n'$$dots showing up is proportional to$$'n'.$$... GATE EE 2014 Set 2 A fair coin is tossed till a head appears for the first time. The probability that the number of required tosses is odd... GATE EE 2012 A fair coin is tossed$$3 times in succession. If the first toss produces a head, then the probability of getting exac...
GATE EE 2005

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