1
GATE ME 2014 Set 3
+2
-0.6
A machine produces $$0, 1$$ or $$2$$ defective pieces in a day with associated probability of $${1 \over 6},{2 \over 3}$$ and $${1 \over 6}$$, respectively. Then mean value and the variance of the number of defective pieces produced by
A
$$1$$ and $$1/3$$
B
$$1/3$$ and $$1$$
C
$$1$$ and $$4/3$$
D
$$1/3$$ and $$4/3$$
2
GATE ME 2014 Set 1
+2
-0.6
In the following table, $$x$$ is a discrete random variable and $$p(x)$$ is the probability density. The standard deviation of $$x$$ is
A
$$0.18$$
B
$$0.36$$
C
$$0.54$$
D
$$0.6$$
3
GATE ME 2013
+2
-0.6
The probability that a student knows the correct answer to a multiple choice question is $${2 \over 3}$$. If the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is $${1 \over 4}$$. Given that the student has answered the question correctly, the conditional probability that the student knows the correct answer is
A
$${2 \over 3}$$
B
$${3 \over 4}$$
C
$${5 \over 6}$$
D
$${8 \over 9}$$
4
GATE ME 2012
+2
-0.6
A box contains $$4$$ red balls and $$6$$ black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is
A
$$1/20$$
B
$$1/12$$
C
$$3/10$$
D
$${\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 2}}$$
GATE ME Subjects
EXAM MAP
Medical
NEET