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statistics

GATE Mechanical Engineering · Probability and Statistics - Normal Distribution · 1999-2025

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B. S. Grewal — Higher Engineering Mathematics

Linear algebra, calculus, probability, numerical methods

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2025 PYQ

P and Q play chess frequently against each other. Of these matches, P has won $80 \%$ of the matches, drawn $15 \%$ of the matches and lost $5 \%$ of the matches. If they play 3 mo...

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2019 Q4

The lengths of a large stock of titanium rods follow a normal distribution with a mean ($\mu$) of 440 mm and a standard deviation ($\sigma$) of 1 mm. What is the percentage of rods...

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2019 Q19

If x is the mean of data 3, x, 2 and 4, then the mode is _________.

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2018 Q4

A sample 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

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2018 Q59

In a company with 100 employees, 45 earn Rs. 20,000 per month, 25 earn Rs. 30,000, 20 earn Rs. 40,000, 8 earn Rs. 60,000, and 2 earn Rs. 150,000. The median of the salaries is

mediumanswer key
2017 PYQ

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

easyanswer key
2014 PYQ

The number of accidents occurring in a plant in a month follows Poisson distribution with mean as $$5.2.$$ The probability of occurrence of less than $$2$$ accidents in the plant d...

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2014 PYQ

A nationalized bank has found that the daily balance available in its savings accounts follows a normal distribution with a mean of Rs. $$500$$ and a standard deviation of Rs. $$50...

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2002 PYQ

A regression model is used to express a variable $$Y$$ as a function of another variable $$X.$$ this implies that

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2002 PYQ

A regression model is used to express a variable $$Y$$ as a function of another variable $$X.$$ This implies that

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1999 PYQ

Four arbitrary points $$\,\,\,\left( {{x_1},{y_1}} \right),\,\,\left( {{x_2},{y_2}} \right),\,\,\left( {{x_3},{y_3}} \right),\,\,\left( {{x_4},{y_4}} \right),\,\,\,\,$$ are given i...

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