Exam Details
2021 Statistics Paper - I
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Questions
80
Duration
180 mins
Package
National Defence Academy and Naval Academy Examination (I) & (II) - Previous Year Papers
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Difficulty distribution
80questions
Medium
27
33.8%
Hard
27
33.8%
Easy
26
32.5%
Question type distribution
80questions
Multiple Choices
80
100%
Syllabus
Full Syllabus
Sample questions from this paper
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2021 · Unclassified
2021 Statistics Paper - I
Consider the following for the next three (03) items that follow :
Let the joint p.d.f. of X and Y be
f(x, y) = {6 (1 - x - y), x > 0, y > 0, x + y < 1
0, otherwise.
What is the value of E(XY) ?
2021 · Unclassified
2021 Statistics Paper - I
What is the value of Cov(X, Y) ?
2021 · Unclassified
2021 Statistics Paper - I
What is the equation of line of regression of X and Y ?
2021 · Unclassified
2021 Statistics Paper - I
Consider the following for the next two (02) items that follow :
Let the joint density function of X and Y be
f(x, y) = {8xy, 0 < x < y < 1
0, otherwise.
What is E[Y | X = x] equal to ?
2021 · Unclassified
2021 Statistics Paper - I
What is the value of [Y² | X = 0.5] ?
2021 · Unclassified
2021 Statistics Paper - I
How large a sample must be taken in order that the probability will be at least 0.95 and the sample mean will be within 0.5-neighbourhood of the population mean, provided population standard deviation is 1 ?