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mean

GATE Civil Engineering · Probability and Statistics - Skewness · 2007-2023

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7
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B. S. Grewal — Higher Engineering Mathematics

Linear algebra, calculus, probability, numerical methods

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2023 Q7

Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. probability mass function), P(x), of a variable x?

mediumanswer key
2023 Q12

Which of the following probability distribution functions (PDFs) has the mean greater than the median?

mediumanswer key
2022 Q8

The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one of the following is CORRECT?

mediumanswer key
2018 Q3

A probability distribution with right skew is shown in the figure. The correct statement for the probability distribution is

easyanswer key
2018 Q60

The following sequence of numbers is arranged in increasing order: 1, x, x, x, y, y, 9,16,18. Given that the mean and median are equal, and are also equal to twice the mode, the va...

hardanswer key
2016 PYQ

If $$f(x)$$ and $$g(x)$$ are two probability density functions, $$$f\left( x \right) = \left\{ {\matrix{ {{x \over a} + 1} & : & { - a \le x < 0} \cr { - {x \over a} + 1} & : & {0...

mediumanswer key
2015 PYQ

The probability density function of a random variable, $$x$$ is $$$\matrix{ {f\left( x \right) = {x \over 4}\left( {4 - {x^2}} \right)} & {for\,\,0 \le x \le 2 = 0} \cr { = 0} & {o...

easy
2014 PYQ

If $$\left\{ x \right\}$$ is a continuous, real valued random variable defined over the interval $$\left( { - \infty ,\,\, \pm \infty } \right)$$ and its occurrence is defined by t...

easyanswer key
2007 PYQ

If the standard deviation of the speed of vehicles in a highway is $$8.8$$ kmph and the mean speed of the vehicles is $$33$$ kmph, the coefficient of variation in speed is

easyanswer key