1
GATE IN 2013
+1
-0.3
A continuous random variable $$X$$ has a probability density function $$f\left( x \right) = {e^{ - x}},0 < x < \infty .$$ Then $$P\left\{ {X > 1} \right\}$$ is
A
$$0.368$$
B
$$0.5$$
C
$$0.632$$
D
$$1.0$$
2
GATE IN 2012
+1
-0.3
Two independent random variables $$X$$ and $$Y$$ are uniformly distributed in the interval $$\left[ { - 1,1} \right].$$ The probability that max $$\left[ {X,Y} \right]$$ is less than $$1/2$$ is
A
$$3/4$$
B
$$9/16$$
C
$$1/4$$
D
$$2/3$$
3
GATE IN 2009
+1
-0.3
A screening test is carried out to detect a certain disease. It is found that $$12$$% of the positive reports and $$15$$% of the negative reports are incorrect. Assuming that the probability of a person getting positive reports is $$0.01,$$ the probability that a person tested gets an incorrect reports is
A
$$0.0027$$
B
$$0.0173$$
C
$$0.1497$$
D
$$0.2100$$
4
GATE IN 2008
+1
-0.3
A random variable is uniformly distributed over the interval $$2$$ to $$10.$$ Its variance will be
A
$$16/3$$
B
$$6$$
C
$$256/9$$
D
$$36$$
GATE IN Subjects
EXAM MAP
Medical
NEET