## Marks 1

More
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 $$f\left( x \right) = {e^{ - x}},0 1} \right\}$$ ... 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$$tosses. Let the random ... GATE EE 2017 Set 2 Let the probability density function of a random variable$$X,$$be given as:$$${f_x}\left( x \right) = {3 \over 2}{e^...
GATE EE 2016 Set 2
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
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,$$alternately keep rolling a fair dice. The person to get a six first wins the game. Given t... GATE EE 2015 Set 1 Given Set$$\,\,\,A = \left\{ {2,3,4,5} \right\}\,\,\,$$and Set$$\,\,\,B = \left\{ {11,12,13,14,15} \right\},\,\,\,$$... GATE EE 2015 Set 1 The probabilities that a student passes in Mathematics, Physics and Chemistry are$$m, p$$and$$c$$respectively. Of th... GATE EE 2015 Set 1 Lifetime of an electric bulb is a random variable with density$$f\left( x \right) = k{x^2},$$where$$x$$is measured ... GATE EE 2014 Set 3 Consider a die with the property that the probability of a face with$$'n'$$dots showing up is proportional to$$'n'.$$... GATE EE 2014 Set 2 Let$$X$$be a random variable with probability density function$$f\left( x \right) = \left\{ {\matrix{ {0.2} & {for...
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

### EXAM MAP

#### Graduate Aptitude Test in Engineering

GATE ECE GATE CSE GATE CE GATE EE GATE ME GATE PI GATE IN