12th Standard Syllabus & Materials
12th Standard
TN 12th Standard Biology Zoology - Reproduction in Organisms Creative Questions Study Material - QB365 Set D
NEW12th Standard
TN 12th Standard Biology Zoology - Reproduction in Organisms Creative Questions Study Material - QB365 Set C
NEW12th Standard
TN 12th Standard Biology Zoology - Reproduction in Organisms Creative Questions Study Material - QB365 Set B
NEW12th Standard
TN 12th Standard Biology Zoology - Reproduction in Organisms Creative Questions Study Material - QB365 Set A
NEW12th Standard
TN 12th Standard Physics Electronics and Communication Creative Questions Study Material - QB365 Set D
NEW12th Standard
TN 12th Standard Physics Electronics and Communication Creative Questions Study Material - QB365 Set C
Published on: 13/05/2022
QB365 provides detailed and simple solution for every Book back Questions in class 12 Business Maths Subject. It will helps to get more idea about question pattern in every book back questions with solution.
latest Book back QuestionsDownload Tamil Nadu 12th Standard Business Maths and Statistics question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Business Maths and Statistics Test
1.
Let X be a random variable and Y = 2X + 1. What is the variance of Y if variance of X is 5 ?
2.
State the definition of Mathematical expectation using continuous random variable.
3.
How do you define variance in terms of Mathematical expectation?
4.
What do you understand by Mathematical expectation?
5.
What are the properties of Mathematical expectation?
1.
Given X is a random variable
∴ Y = 2X + 1 is also a random variable
Given Var (X) = 5
∴ Var (Y) = Var (2X + 1) = 22 Var (X)
[∵ Var (aX + b) = a2 Var (X)]
= 4(5)
∴ Var (Y) = 20
2.
If X is a continuous random variable and f(x) is the value of its probability density function at x, then the expected value of X is
\(E(X)=\int _{ -\infty }^{ \infty }{ x.(x)dx } \)
3.
Var (X) = E(X2) - [E(X)]2 where
\(E({ X }^{ 2 })=\begin{cases} \sum { { x }^{ 2 }p(x)\text {for discrete random variable} } \\ \int _{ -\infty }^{ \infty }{ { x }^{ 2 }P(x)\text{dx for continuous random variable} } \end{cases}\)
4.
Mathematical expectation E(X) is an average of the values, that the random variable takes on, where each value is weighted by the probability that the random variable is equal to that value. Values that are most probable receive more weight. Each value x is multiplied by the approximate probability that X equals the valuex.
5.
(i) E(a) = a where a is a constant
(ii) E(aX) = a. E(X)
(iii) E(aX + b) = a E(X) + b
(iv) If X ≥ 0, then E(X) ≥ 0
(v) V(a) = 0
(vi) V(aX + b) = a2 V(X).
12th Standard Syllabus & Materials
12th Standard
TN 12th Standard Physics Electronics and Communication Creative Questions Study Material - QB365 Set B
NEW12th Standard
TN 12th Standard Physics Electronics and Communication Creative Questions Study Material - QB365 Set A
NEW12th Standard
TN 12th Standard Physics Wave Optics Creative Questions Study Material - QB365 Set D
NEW12th Standard
TN 12th Standard Physics Wave Optics Creative Questions Study Material - QB365 Set C
Tamilnadu Stateboard 12th Standard Subjects
Maths
Chemistry
Physics
Biology
Computer Science
Business Maths and Statistics
Economics
Commerce
Accountancy
History
Computer Applications
Biology
Computer Technology
Computer Applications
Computer Science
Business Maths and Statistics
Commerce
Economics
Maths
Chemistry
Physics
Computer Technology
History
Accountancy
Tamil
English
French
Tamilnadu Stateboard Standards
