1
GATE IN 2015
MCQ (Single Correct Answer)
+1
-0.3
The probability that a thermistor randomly picked up from a production unit is defective is $$0.1.$$ The probability that out of $$10$$ thermistors randomly picked up, $$3$$ are defective is
A
$$0.001$$
B
$$0.057$$
C
$$0.107$$
D
$$0.3$$
2
GATE IN 2013
MCQ (Single Correct Answer)
+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
$$1.0$$
3
GATE IN 2012
MCQ (Single Correct Answer)
+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
$$2/3$$
4
GATE IN 2009
MCQ (Single Correct Answer)
+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
$$0.2100$$
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