ISS 2025 Statistics Paper 1 Solution Questions 1 to 5
Updated: May 25
ISS 2025 Statistics Paper 1 MCQs and Solutions Questions 1-5
ISS 2025 Statistics Paper 1 Questions 1-5 complete solution with detailed explanation. In this blog, we discuss important Probability and Statistics MCQs asked in the ISS 2025 examination, including topics like Beta Distribution, Uniform Distribution, Expected Value, Random Variables, and Probability concepts.
These questions are highly useful for ISS aspirants, UGC NET Statistics students, MSc Statistics students, and other competitive exam preparations. Each question is explained in an easy and exam-oriented way to help students improve conceptual understanding and problem-solving skills.
Watch the full video solution and practice these important statistics questions for better exam preparation.
Q.1 X follows Beta distribution of first kind Beta (α,β) with α>1 and β>1. What is the mode?
(a) (α−1)/(α+β−2)
(b) α/(α+β)
(c) (α+1)/(α+β+1)
(d) (α+β)/(α+β−1)
Q. 2 For Beta distribution of first kind Beta (α,β), consider the following statements:
I. For α>1; density has unique mode.
II. For α+β=2 such that α=β=1 all points in [0,2] are modes.
Which of the statements given above is/are correct?
(a) I only
(b)II only
(c) Both I and II
(d) Neither I nor II
Q. 3 Let X be a continuous random variable with the following pdf:
f(x) = { 1/8, 2 ≤ x ≤ 10 0, otherwise}
What is the distribution of Y = aX + b, provided a > 0?
(a) U(8a + b, 12a + b)
(b) U(2a + b, 10a + b)
(c) Poisson (ba^(1/8))
(d) None of the above
Q. 4 A player rolls a fair dice and simultaneously tosses a fair coin. If the “head” appears on the coin, then the player wins twice the value that appears on the dice. However if the “tail” appears on the coin, then the player wins half of the value that appears on the dice. What is the player’s expected win?
(a) 10.250
(b) 8.625
(c) 7.625
(d) 4.375
Q. 5 A miner is trapped in a mine containing 3 doors. The first door leads to a tunnel that will take him to safety after 3 hours of travel. The second door leads to a tunnel that will return him to the mine after 5 hours of travel. The third door leads to a tunnel that will return him to the mine after 7 hours of travel. Assuming that the miner is equally likely to choose any of the doors, what is the expected length of time until he reaches safety?
(a) 15 hours
(b) 25 hours
(c) 30 hours
(d) 35 hours
Answer in Bilingual
Answer in English
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