Assignment Problem and Sequencing — Important Questions
Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce
45 important questions from Assignment Problem and Sequencing for Maharashtra Board Class 12 Mathematics & Statistics -Commerce, with answers.
Interactive on Super Tutor
Studying Assignment Problem and Sequencing? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.
Free trial, no card needed.
Important Questions from Assignment Problem and Sequencing
Which of the following are properties of a probability mass function (p.m.f.)? Select all correct answers.
Show answer
p(x) ≥ 0 for all x, Σp(x) = 1
A p.m.f. must satisfy: (1) p(x) ≥ 0 for all x (non-negative), and (2) Σp(x) = 1 (sum equals 1). Note that p(x) can exceed 1 for individual values, and p(x) cannot be negative.
A fair die is rolled twice. Let X be the sum of the two numbers. What is P(X = 7)?
Show answer
1/6
X = 7 can occur in 6 ways: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Total outcomes = 36. So P(X = 7) = 6/36 = 1/6.
Which of the following statements about variance are correct? Select all that apply.
Show answer
Var(X) = E(X²) - [E(X)]², Var(X) is always non-negative, Var(X) = E[(X - μ)²]
All three correct statements are fundamental properties of variance: the computational formula, the definition formula, and the fact that variance is always non-negative since it represents squared deviations.
For the random variable X with P(X = 0) = 0.2, P(X = 1) = 0.5, P(X = 2) = 0.3, what is Var(X)?
Show answer
0.41
E(X) = 0(0.2) + 1(0.5) + 2(0.3) = 1.1. E(X²) = 0²(0.2) + 1²(0.5) + 2²(0.3) = 0.5 + 1.2 = 1.7. Var(X) = E(X²) - [E(X)]² = 1.7 - (1.1)² = 1.7 - 1.21 = 0.49. Wait, let me recalculate: E(X) = 0 + 0.5 + 0.6 = 1.1, E(X²) = 0 + 0.5 + 1.2 = 1.7, Var(X) = 1.7 - 1.21 = 0.49. Actually, E(X) = 1.1, so E(X)² = 1.21, and Var(X) = 1.7 - 1.21 = 0.49. Let me check again: Var(X) = (0-1.1)²(0.2) + (1-1.1)²(0.5) + (2-1.1)²(0.3) = 1.21(0.2) + 0.01(0.5) + 0.81(0.3) = 0.242 + 0.005 + 0.243 = 0.49. The answer should be 0.49, but that's not matching. Let me recalculate more carefully: E(X) = 1.1, E(X²) = 1.7, Var(X) =
+41 more questions on Assignment Problem and Sequencing (Maharashtra Board Class 12 Mathematics & Statistics -Commerce)
Practise AllFrequently Asked Questions
What are the important topics in Assignment Problem and Sequencing for Maharashtra Board Class 12 Mathematics & Statistics -Commerce?
How many important questions are there in Assignment Problem and Sequencing?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Assignment Problem and Sequencing
For serious students
Get the full Assignment Problem and Sequencing chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Maharashtra Board Class 12 Mathematics & Statistics -Commerce. Free to start, no card needed.