1
GATE PI 2014
MCQ (Single Correct Answer)
+2
-0.6
Marks obtained by $$100$$ students in an examination are given in the table GATE PI 2014 Engineering Mathematics - Probability and Statistics Question 5 English

What would be the mean, median, and mode of the marks obtained by the students?

A
Mean $$33;$$ Median $$35;$$ Mode $$40$$
B
Mean $$35;$$ Median $$32.5;$$ Mode $$40$$
C
Mean $$33;$$ Median $$35;$$ Mode $$35$$
D
Mean $$35;$$ Median $$32.5;$$ Mode $$35$$
2
GATE PI 2012
MCQ (Single Correct Answer)
+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
$${\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$
3
GATE PI 2012
MCQ (Single Correct Answer)
+2
-0.6
An automobile plant contracted to buy shock absorbers from two suppliers $$X$$ and $$Y$$. $$X$$ supplies $$60$$% and $$Y$$ supplies $$40$$% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of $$X'$$ s shock absorbers, $$96$$% are reliable. Of $$Y'$$ s shock absorbers, $$72$$% are reliable. The probability that a randomly choosen shock absorber, which is found to reliable, is made by $$Y$$ is
A
$$0.288$$
B
$$0.334$$
C
$$0.667$$
D
$$0.720$$
4
GATE PI 2011
MCQ (Single Correct Answer)
+2
-0.6
It is estimated that the average number of events during a year is three. What is the probability of occurrence of not more than two events over a two-year duration? Assume that the number of events follow a poisson distribution.
A
$$0.052$$
B
$$0.062$$
C
$$0.072$$
D
$$0.082$$
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