Mining Engineering
GATE MN area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 89. Imported answers require independent review unless marked reviewed.
Question 6
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The measures of dispersion of a dataset are
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The vectors
and
act in a plane as shown below. The magnitude of the vector
is
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For a “positive definite” square matrix, the TRUE statement is
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The standard normal distribution is a
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Variance of the sum of two statistically independent random variables
and
,
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The value of the integral
computed using Simpson’s 1/3 rule with 2 subintervals is ________. [round off to 3 decimal places]Log in to check the answer
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The value of
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In order to check whether iron ore is supplied to the specification of 62% Fe, a steel company has conducted a hypothesis test with the null hypothesis as H₀: μFe = 62% and alternative hypothesis Ha: μFe < 62%. A random sample of 5 observations reveal the following grade values of the lot, 58%, 56%, 60%, 64%, 62%. The t-test statistic for the hypothesis is
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Assume that COVID-19 growth rate of number of infections per day (c) in a certain population is represented by the following differential equation.
Here, t stands for time in days. Time taken for the number of infections per day to double, in days, is ______. [round off to the nearest integer]
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Injury experience is studied in an underground coal mine with a random sample of 132 workers. The results of the study are tabulated below.
| Injured | Non-injured | Total workers |
|---|---|---|---|
Roof-bolter operators | 13 | 12 | 25 |
Loader operators | 35 | 72 | 107 |
Total workers | 48 | 84 | 132 |
The odds ratio of experiencing an injury by the roof-bolter operators when compared to the loader operators is ______. [round off to 2 decimal places]
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