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Previous Years Questions
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Marks 1
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A simple of $$15$$ data is as follows; $$17,18,17,17,13,18,5,5,6,7,8,9,20,17,3.$$ The mode of the data is
GATE ME 2017 Set 2
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Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is ...
GATE ME 2017 Set 2
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A six-face fair dice is rolled a large number of times. The mean value of the outcomes is _________.
GATE ME 2017 Set 1
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The area (in percentage) under standard normal distribution curve of variable $$Z$$ within limits from $$-3$$ to $$+3$$ ...
GATE ME 2016 Set 3
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Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is $$\mu $$. The standa...
GATE ME 2016 Set 1
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Among the four normal distributions with probability density functions as shown below, which one has the lowest variance...
GATE ME 2015 Set 1
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Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is ...
GATE ME 2015 Set 1
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If $$P(X)$$ $$ = $$ $$1/4,$$ $$P(Y) = 1/3,$$ and $$\,\,P\left( {X \cap Y} \right) = 1/12,\,\,$$ the value of $$P(Y/X)$$...
GATE ME 2015 Set 3
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The probability of obtaining at least two $$'SIX'$$ in throwing a fair dice $$4$$ times is
GATE ME 2015 Set 1
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The number of accidents occurring in a plant in a month follows Poisson distribution with mean as $$5.2.$$ The probabil...
GATE ME 2014 Set 4
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A nationalized bank has found that the daily balance available in its savings accounts follows a normal distribution wit...
GATE ME 2014 Set 4
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A group consists of equal number of men and women. Of this group $$20$$% of the men and $$50$$% of the women are unemplo...
GATE ME 2014 Set 3
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Let $$X$$ be a normal random variable with mean $$1$$ and variance $$4.$$ The probability $$P\left\{ {X < 0} \right\}...
GATE ME 2013
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A box contains $$2$$ washers, $$3$$ nuts and $$4$$ bolts. Items are drawn from the box at random one at a time without ...
GATE ME 2010
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The standard deviation of a uniformly distributed random variable $$b/w$$ $$0$$ and $$1$$ is
GATE ME 2009
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If three coins are tossed simultaneously, the probability of getting at least one head is
GATE ME 2009
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A coin is tossed $$4$$ times. What is the probability of getting heads exactly $$3$$ times?
GATE ME 2008
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Using given data points tabulated below, a straight line passing through the origin is fitted using least squares method...
GATE ME 2005
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A lot had $$10$$% defective items. Ten items are chosen randomly from this lot. The probability that exactly $$2$$ of th...
GATE ME 2005
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A regression model is used to express a variable $$Y$$ as a function of another variable $$X.$$ This implies that
GATE ME 2002
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The probability that two friends share the same birth-month is
GATE ME 1998
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Marks 2
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Three cards were drawn from a pack of $$52$$ cards. The probability that they are a king, a queen, and a jack is
GATE ME 2016 Set 3
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The probability that a screw manufactured by a company is defective is $$0.1$$. The company sells screws in packets con...
GATE ME 2016 Set 2
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A coin is tossed thrice. Let $$X$$ be the event that head occurs in each of the first two tosses. Let $$Y$$ be the event...
GATE ME 2015 Set 3
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The chance of a student passing an exam is $$20$$% The chance of a student passing the exam and getting above $$90$$% ma...
GATE ME 2015 Set 2
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A machine produces $$0, 1$$ or $$2$$ defective pieces in a day with associated probability of $${1 \over 6},{2 \over 3}$...
GATE ME 2014 Set 3
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Consider an unbiased cubic die with opposite faces coloured identically and each face coloured red, blue or green such t...
GATE ME 2014 Set 2
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A box contains $$25$$ parts of which $$10$$ are defective. Two parts are being drawn simultaneously in a random manner f...
GATE ME 2014 Set 2
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In the following table, $$x$$ is a discrete random variable and $$p(x)$$ is the probability density. The standard devia...
GATE ME 2014 Set 1
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The probability that a student knows the correct answer to a multiple choice question is $${2 \over 3}$$. If the studen...
GATE ME 2013
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A box contains $$4$$ red balls and $$6$$ black balls. Three balls are selected randomly from the box one after another, ...
GATE ME 2012
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An automobile plant contracted to buy shock absorbers from two suppliers $$X$$ and $$Y$$. $$X$$ supplies $$60$$% and $...
GATE ME 2012
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An unbiased coin is tossed five times. The outcome of each loss is either a head or a tail. Probability of getting at le...
GATE ME 2011
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Let $$X$$ and $$Y$$ be two independent random variables. Which one of the relations $$b/w$$ expectation $$(E),$$ varianc...
GATE ME 2007
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A single die is thrown two times. What is the probability that the sum is neither $$8$$ nor $$9?$$
GATE ME 2005
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The following data about the flow of liquid was observed in a continuous chemical process plant Mean flow rate of th...
GATE ME 2004
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From a pack of regular playing cards, two cards are drawn at random. What is the probability that both cards will be kin...
GATE ME 2004
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In a manufacturing plant, the probability of making a defective bolts is $$0.1$$. The mean and standard deviation of def...
GATE ME 2000
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Four arbitrary points $$\,\,\,\left( {{x_1},{y_1}} \right),\,\,\left( {{x_2},{y_2}} \right),\,\,\left( {{x_3},{y_3}} \ri...
GATE ME 1999
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