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Published on: 27/08/2019
Random Variable and Mathematical Expectation
Download 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.
A discrete probability distribution may be represented by ________.
table
graph
mathematical equation
all of these
2.
If c is a constant, then E(c) is ________.
0
1
c f (c)
c
3.
Which of the following is not possible in probability distribution?
\(\sum { p(x)\ge 0 } \)
\(\sum { p(x)=1 } \)
\(\sum { xp(x)=2 } \)
\(p(x)=-0.5\)
4.
If X is a discrete random variable and p(x) is the probability of X, then the expected value of this random variable is equal to ________.
\(\sum { f(x) } \)
\(\sum[x+f(x)]\)
\(\sum { f(x)+x } \)
\(\sum { xp(x) } \)
5.
A formula or equation used to represent the probability distribution of a continuous random variable is called ________.
probability distribution
distribution function
probability density function
mathematical expectation
6.
A variable that can assume any possible value between two points is called ________.
discrete random variable
continuous random variable
discrete sample space
random variable
7.
Given E(X)=5 and E(Y)=−2, then E(X−Y) is ________.
3
5
7
-2
8.
9.
Demand of products per day for three days are 21, 19, 22 units and their respective probabilities are 0.29, 0.40, 0.35. Profit per unit is 0.50 paisa then expected profits for three days are ________.
21, 19, 22
21.5, 19.5, 22.5
0.29, 0.40, 0.35
3.045, 3.8, 3.85
10.
Value which is obtained by multiplying possible values of random variable with probability of occurrence and is equal to weighted average is called ________.
Discrete value
Weighted value
Expected value
Cumulative value
1.
(d)
all of these
2.
(d)
c
3.
(d)
\(p(x)=-0.5\)
4.
(d)
\(\sum { xp(x) } \)
5.
(c)
probability density function
6.
(b)
continuous random variable
7.
(c)
7
8.
(b)
9.
(d)
3.045, 3.8, 3.85
10.
(c)
Expected value
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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
