Exam Details
2018 Statistics Paper - I
Review the key details, then start the test when you are ready. You can also open the full package to see related papers.
Questions
80
Duration
180 mins
Package
National Defence Academy and Naval Academy Examination (I) & (II) - Previous Year Papers
Paper pattern & analysis
Filter this paper by subject, topic or subtopic. Every graph updates from the selected questions.
Topic distribution
Subtopic distribution
Difficulty distribution
80questions
Hard
27
33.8%
Easy
27
33.8%
Medium
26
32.5%
Question type distribution
80questions
Multiple Choices
80
100%
Syllabus
Full Syllabus
Sample questions from this paper
Questions are selected across the paper subjects wherever the paper contains that variety.
2018 · Unclassified
2018 Statistics Paper - I
Let A1, A2, A3 and A4 be independent events such that P(A1) = 1/2, P(A2) = 1/4, P(A3) = 1/8 and P(A4) = 1/16. What is P(A1 ∪ A2 ∪ A3 ∪ A4) equal to?
2018 · Unclassified
2018 Statistics Paper - I
A lot of 15 mobiles contains 4 defective mobiles. The mobiles are taken out one by one at random and examined. The examined ones are not put back. The probability that the ninth mobile examined is the last defective is
2018 · Unclassified
2018 Statistics Paper - I
Let X be a random variable having probability density function
f(x) = {
x/2, 0 < x ≤ 1
1/2, 1 < x ≤ 2
(3 - x)/3, 2 < x ≤ 3
}
What is P(1.5 < X ≤ 2.5 | X > 1) equal to?
2018 · Unclassified
2018 Statistics Paper - I
The first of three urns contains 7 white and 10 black balls; the second urn contains 5 white and 12 black balls; and the third urn contains 17 white balls only. A person chooses an urn at random and draws a ball from it. The ball is white.
What are the probabilities that the ball drawn is from the first, second and third urns respectively?
2018 · Unclassified
2018 Statistics Paper - I
Let X and Y be jointly distributed with pdf
f(x, y) = \begin{cases} 1+xy/y, & |x|<1, |y|<1 \\ 0, & otherwise \end{cases}
Which of the following statements is/are correct?
1. X and Y are independent.
2. X² and Y² are independent.
Select the correct answer using the code given below :
2018 · Unclassified
2018 Statistics Paper - I
Let X be a random variable with pdf
f(x) = \begin{cases} 2/3 x³, & x ≥ 1 \\ 0, & x < 1 \end{cases}
Which one of the following statements is correct?