Exam Details
2024 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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80questions
Medium
27
33.8%
Hard
27
33.8%
Easy
26
32.5%
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80questions
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80
100%
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Sample questions from this paper
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2024 · Unclassified
2024 Statistics Paper - I
If X(1), X(2), X(3), X(4), X(5) are order statistics from a population with pdf f(x) = 2e−2x, x > 0, then what is the density function of X(1)?
2024 · Unclassified
2024 Statistics Paper - I
What is the moment-generating function of S2?
(a) \( \left(1 - 2(n-1)t/\sigma² \right)^{-n-1/2} \)
(b) \( \left(1 - (n-1)t/\sigma² \right)^{-n-1/2} \)
(c) \( \left(1 - 2\sigma² t/n-1 \right)^{-n-1/2} \)
(d) \( \left(1 - \sigma² t/n-1 \right)^{-n-1/2} \)
2024 · Unclassified
2024 Statistics Paper - I
If \( r = 1/2 \Gamma \left( \frac{n-3/2 \right)}{\Gamma \left( n-1/2 \right)} , n > 3 \) then what is the value of \( E \left( 1/S² \right) \)?
2024 · Unclassified
2024 Statistics Paper - I
Consider the following for the next three (3) items that follow:
Let X1, X2, X3, ..., Xn be iid U(0, 1) variates and T = -ln (X1X2X3 ... Xn).
What is E(T) equal to?
2024 · Unclassified
2024 Statistics Paper - I
What is Var (T) equal to?
2024 · Unclassified
2024 Statistics Paper - I
What is the moment-generating function of T?