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Published on: 13/05/2022
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Questions + Answers key
Take MCQ Maths Test1.
If X is a binomial random variable with expected value 6 and variance 2.4, then P(X = 5) is
\(\left( \frac { 10 }{ 5 } \right) \left( \frac { 3 }{ 5 } \right) ^{ 6 }\left( \frac { 2 }{ 5 } \right) ^{ 4 }\)
\(\left( \frac { 10 }{ 5 } \right) \left( \frac { 3 }{ 5 } \right) ^{ 10 }\)
\(\left( \frac { 10 }{ 5 } \right) { \left( \frac { 3 }{ 5 } \right) }^{ 4 }\left( \frac { 2 }{ 5 } \right) ^{ 6 }\)
\(\left( \frac { 10 }{ 5 } \right) \left( \frac { 3 }{ 5 } \right) ^{ 5 }\left( \frac { 2 }{ 5 } \right) ^{ 5 }\)
2.
If the function \(f(x)=\frac { 1 }{ 12 } \) for a < x < b, represents a probability density function of a continuous random variable X, then which of the following cannot be the value of a and b?
0 and 12
5 and 17
7 and 19
16 and 24
3.
Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. Then the possible values of X are
i + 2n, i = 0,1,2... n
2i- n, i = 0,1,2... n
n - i, i = 0,1,2... n
2i + 2n, i = 0, 1, 2...n
4.
A random variable X has binomial distribution with n = 25 and p = 0.8 then standard deviation of X is
6
4
3
2
5.
A pair of dice numbered 1, 2, 3, 4, 5, 6 of a six-sided die and 1, 2, 3, 4 of a four-sided die is rolled and the sum is determined. Let the random variable X denote this sum. Then the number of elements in the inverse image of 7 is
1
2
3
4
1.
(d)
\(\left( \frac { 10 }{ 5 } \right) \left( \frac { 3 }{ 5 } \right) ^{ 5 }\left( \frac { 2 }{ 5 } \right) ^{ 5 }\)
2.
(d)
16 and 24
3.
(b)
2i- n, i = 0,1,2... n
4.
(d)
2
5.
(d)
4
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Tamilnadu Stateboard 12th Standard Subjects

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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

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