Mining Engineering
GATE MN Probability and Statistics PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–26 of 26. Imported answers require independent review unless marked reviewed.
Question 53
Open questionMNNAT2 marksNeeds review
The sample standard deviation for the following set of observations is ________________. 40, 45, 50 and 55
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Open questionMNMCQ1 markNeeds review
and
are the probability distribution function and density function respectively of a continuous variable
in the interval
. Which one of the following is TRUE?Your answerChoose one option.
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Open questionMNNAT2 marksNeeds review
The area of cross-section (x) of four rock samples and the respective applied loads (y) at failure under uniaxial loading are given below:
| x (cm²) | 7 | 10 | 13 | 16 |
| y (kN) | 35 | 45 | 60 | 80 |
If the best fit line
represents the above data, the coefficient of determination (
) of the best fit line isLog in to check the answer
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Open questionMNNAT2 marksNeeds review
500 coal miners were randomly selected from an underground coal mine. It was found that 50 workers experienced an injury in the year 2014. The distribution of injury based on younger age group (age ≤ 40 years) and older age group (age > 40 years) generated the following cross classification table.
| Age group | Injured | Non-injured | Row total |
| Younger age group | 20 | 130 | 150 |
| Older age group | 30 | 320 | 350 |
| Column total | 50 | 450 | 500 |
The odds of injury for the younger age group compared to the older age group is
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Open questionMNNAT2 marksNeeds review
In a book of 600 pages, there are 60 typographical errors. Assuming Poisson distribution for the number of errors per page, the probability of no errors in randomly chosen 4 pages is ________
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Open questionGAMCQ1 markNeeds review
The following sequence of numbers is arranged in increasing order: 1,
,
,
,
,
, 9, 16, 18. Given that the mean and median are equal, and are also equal to twice the mode, the value of
isYour answerChoose one option.
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