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Concept drill

variance

GATE Mechanical Engineering · Probability and Statistics - Normal Distribution · 2002-2023

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B. S. Grewal — Higher Engineering Mathematics

Linear algebra, calculus, probability, numerical methods

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2023 Q11

A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box containing 200 components produced by the machine follows a...

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2023 PYQ

A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box containing 200 components produced by the machine follows a...

easyanswer keybasic explanation
2021 Q3

The mean and variance, respectively, of a binomial distribution for n independent trials with the probability of success as p, are

easyanswer key
2018 Q26

Let X1, X2 be two independent normal random variables with means μ1, μ2 and standard deviations σ1, σ2, respectively. Consider Y = X1 – X2; μ1 = μ2 =1, σ1 = 1, σ2 = 2. Then,

mediumanswer key
2017 PYQ

The standard deviation of linear dimensions $$P$$ and $$Q$$ are $$3\mu m$$ and $$4\mu m$$, respectively. When assembled, the standard deviation (in $$\mu m$$) of the following line...

easy
2014 PYQ

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...

easyanswer key
2007 PYQ

Let $$X$$ and $$Y$$ be two independent random variables. Which one of the relations $$b/w$$ expectation $$(E),$$ variance $$\left( {{V_{ar}}} \right)$$ and covariance $$\left( {{C_...

easyanswer key
2002 PYQ

A project consists of three parallel paths with mean durations and variances of $$(10,4), (12,4)$$ and $$(12,9)$$ respectively. According to the standard $$PERT$$ assumptions, the...

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