ISS 2025 Statistics Paper 1 Solution Questions 41 to 44
- Gajender Raaz
- 6 days ago
- 1 min read
ISS 2025 Statistics Paper 1 Solution Questions 41 to 44 complete solution with detailed explanation. Question 41 covers Binomial and Poisson distributions, Question 42 discusses correlation between random variables, Question 43 explains conditional expectation, and Question 44 focuses on conditional variance concepts important for ISS exam preparation.
Consider the following for the next four (04) items:
Let (X₁, X₂, X₃) be a random vector with the joint pmf given by:
P(X₁ = x₁, X₂ = x₂, X₃ = x₃)
50!
= ------------------------------- (1/4)^x₁ (1/4)^x₂ (1/4)^x₃ (1/4)^(50−x₁−x₂−x₃)
x₁! x₂! x₃! (50−x₁−x₂−x₃)!
if x₁ + x₂ + x₃ ≤ 50
otherwise.
Q. 41 The distribution of (50 − X₁) is:
(a) Binomial (50, 1/4)
(b) Binomial (50, 3/4)
(c) Poisson (3/4)
(d) Poisson (1/4)
Q. 42 The correlation between X₁ and X₂ is:
(a) −1/4
(b) −1/3
(c) 1/4
(d) 1/3
Q. 43 What is E(X₁ | X₂ = 5) equal to?
(a) 8
(b) 10
(c) 12
(d) 15
Q. 44 What is V(X₁ | X₂ = 5) equal to?
(a) 8
(b) 10
(c) 12
(d) 15
Answer in Bilingual
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