1
GATE EE 2017 Set 2
+2
-0.6
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $$3$$ tosses. Let the random variable $$Y$$ denotes the number of heads. The value of var $$\left\{ Y \right\},$$ where var $$\left\{ . \right\}$$ denotes the variance, equal
A
$${7 \over 8}$$
B
$${49 \over 64}$$
C
$${7 \over 64}$$
D
$${105 \over 64}$$
2
GATE EE 2016 Set 2
+2
-0.6
Let the probability density function of a random variable $$X,$$ be given as: $${f_x}\left( x \right) = {3 \over 2}{e^{ - 3x}}u\left( x \right) + a{e^{4x}}u\left( { - x} \right)$$\$
where $$u(x)$$ is the unit step function. Then the value of $$'a'$$ and Prob $$\left\{ {X \le 0} \right\},$$ respectively, are
A
$$2,{1 \over 2}$$
B
$$4,{1 \over 2}$$
C
$$2,{1 \over 4}$$
D
$$4,{1 \over 4}$$
3
GATE EE 2016 Set 1
Numerical
+2
-0
Candidates were asked to come to an interview with $$3$$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all $$3$$ pens having the same colour is _______.
4
GATE EE 2015 Set 1
+2
-0.6
Two players, $$A$$ and $$B,$$ alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player $$A$$ starts the game, the probability that $$A$$ wins the game is
A
$$5/11$$
B
$$1/2$$
C
$$7/13$$
D
$$6/11$$
EXAM MAP
Medical
NEET