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Published on: 02/09/2022
QB365 provides a detailed and simple solution for every Possible Creative Questions in Class 12 Maths Subject -Probability Distributions, English Medium. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.
Download Tamil Nadu 12th Standard Maths 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 Maths Test1.
2.
3.
If F(x) is a distribution function of a random variable then the false statement is ____________
\(F(\infty )=1\)
\(F(-\infty )=-1\)
\({ F }^{ ' }\left( x \right) =f(x)\)
\(0<\mathrm{F}(x)<1\)
4.
If X is a continuous random variable then which of the following is incorrect?
F'(x) = f(x)
\(F(\infty )=1,F(-\infty )=0\)
\(P(a\le X\le b)=F(b)-F(a)\)
\(P(a\le X
5.
If x is a continuous random variable then P(x ≥ a) =
\(P(x \ < \ a)\)
\(P(a\le x\le b)\)
\(P\left( x>a \right) \)
\(1-P\left( x\le a-1 \right) \)
7.
A die is thrown 10 times. Getting a number greater than 3 is considered a success. The S.D of the number of successes is _________
2.5
1.56
5
25
8.
If the mean and variance of a binomial variate are 2 and 1 respectively, the probability that X takes a value greater than one is equal to__________.
\(\frac { 5 }{ 16 } \)
\(\frac { 11 }{ 16 } \)
\(\frac { 10 }{ 16 } \)
\(\frac { 1 }{ 2 } \)
9.
The sum of the mean and variance of a binomial distribution for 6 total is 2.16. Then the probability of success p =__________
0.4
0.6
0.8
0.2
10.
A coin is tossed 3 times. The probability of getting exactly 2 heads is________
\(\frac { 1 }{ 2 } \)
\(\frac { 1 }{ 8 } \)
\(\frac { 3 }{ 8 } \)
\(\frac { 1 }{ 4 } \)
11.
In a binomial distribution n = 4, \(P(X=0)=\frac { 16 }{ 81 } \) then P(X = 4) is __________.
\(\frac { 1 }{ 16 } \)
\(\frac { 1 }{ 81 } \)
\(\frac { 1 }{ 27 } \)
\(\frac { 1 }{ 8 } \)
12.
The variance of a binomial distribution is________.
equal to its mean
less than its mean
greater than its mean
none
13.
If the p.d.f. \(f(x)=\{ \begin{matrix} \cfrac { x }{ 2 } ,0
\(\frac { 2 }{ 3 } \)
\(\frac { 4 }{ 3 } \)
\(\frac { 10 }{ 3 } \)
\(\frac { 7 }{ 3 } \)
14.
Var (2x ± 5) is =________
5
var (2x) ± 5
4 var (X)
0
15.
A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of number of success is _____________
\(\frac { 8 }{ 3 } \)
\(\frac { 3 }{ 8 } \)
\(\frac { 4 }{ 5 } \)
\(\frac { 5 }{ 4 } \)
1.
(a)
2.
(a)
3.
(b)
\(F(-\infty )=-1\)
4.
(d)
\(P(a\le X
5.
(c)
\(P\left( x>a \right) \)
6.
(c)
\(P(x>a)\)
7.
(b)
1.56
8.
(b)
\(\frac { 11 }{ 16 } \)
9.
(d)
0.2
10.
(c)
\(\frac { 3 }{ 8 } \)
11.
(b)
\(\frac { 1 }{ 81 } \)
12.
(b)
less than its mean
13.
(c)
\(\frac { 10 }{ 3 } \)
14.
(c)
4 var (X)
15.
(d)
\(\frac { 5 }{ 4 } \)
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Biology

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Computer Applications

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Business Maths and Statistics

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