Exam Details
2023 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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Subtopic distribution
Difficulty distribution
80questions
Easy
27
33.8%
Medium
27
33.8%
Hard
26
32.5%
Question type distribution
80questions
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80
100%
Syllabus
Full Syllabus
Sample questions from this paper
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2023 · Unclassified
2023 Statistics Paper - I
The members of a firm rent cars from three rental agencies : 60% from Agency-1, 30% from Agency-2 and 10% from Agency-3. If 9% of cars from Agency-1 need an oil change, 20% of cars from Agency-2 need an oil change and 6% of cars from Agency-3 need an oil change, then what is the probability that a rental car delivered to the firm will need an oil change ?
2023 · Unclassified
2023 Statistics Paper - I
If X ~ N (0, 1) and Y|X = x ~ U(x - 1, x + 1), then what is the value of E(E2(Y|X)) ?
2023 · Unclassified
2023 Statistics Paper - I
If X ~ exp(θ), then consider the following statements :
1. Variance > Mean if 0 < θ < 1
2. Minimum order statistics is chi-square distribution
3. Lack of memory property exists only if θ > 1
Which of the statements given above is/are correct ?
2023 · Unclassified
2023 Statistics Paper - I
A random variable X has probability mass function given by
P(X = x) = (1/510) (10 choose x) 2x 310−x ; x = 0, 1, 2, ..., 10
The mean and variance of X are respectively :
2023 · Unclassified
2023 Statistics Paper - I
If X ~ log-normal (μ, σ2) and Y = σX^μ; σ > 0, -∞ < μ < ∞, then what is the value of
Var((log(Y/σ) - μ2)2) ?
2023 · Unclassified
2023 Statistics Paper - I
The pdf of a random variable X is given by
f(x) = {0·2, 0 ≤ x ≤ 5; 0, otherwise}
Consider the following probabilities :
1. P(2 ≤ X ≤ 3) = 0·2
2. P(X > 3·5) = 0·3
3. P(|x| ≥ 2) = 0·6
4. P(X < 4) = 0·8
How many of the probabilities given above are correct ?