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CBSE Questions for Class 12 Commerce Applied Mathematics Probability Distribution And Its Mean And Variance Quiz 5 - MCQExams.com

The counter part of probability mass function is:
  • Probability distribution
  • Probability density function
  • Distribution function
  • None of these
A variable that can assume any possible value between two points is called:
  • Discrete sample space
  • Discrete random variable
  • Continuous random variable
  • Random variable
Amit tosses a fair coin twice, and let X be defined as the number of heads he observe. Find probability mass function Px.
  • 13
  • 18
  • 14
  • None off these
Probability distribution of discrete random variable is classified as
  • probability mass function.
  • posterior mass function.
  • interior mass function.
  • continuous mass function.
A random variable X has the following p.d.f.
X01234567
P(X=x)0k2k2k3kk22k27k2+k
The value of k is
  • 18
  • 110
  • 0
  • 1
If x is a continuous random variable, then P(a<x<b)=
  • P(axb)
  • P(a<xb)
  • P(ax<b)
  • all the three above
A random variable X has the following probability distribution
X=x210123
P(x)0.10.10.20.20.30.1
Then E(x)=
  • 0.8
  • 0.9
  • 0.7
  • 1.1
If E(X+C)=8 and E(XC)=12 then the value of C is
  • 2
  • 4
  • 4
  • 2
Let the random variable X follow B(6, p). If 16 P(X = 4) = P(X = 2), then what is the value of p?
  • 13
  • 14
  • 15
  • 16
What is P(Z=5) equal to ? 
  • 12
  • 13
  • 14
  • 16
What is P(Z=10) equal to ? 
  • 0
  • 1/2
  • 1/3
  • 1/5
If x is a continuous random variable then P(xa)=
  • P(x<a)
  • 1P(x>a)
  • P(x>a)
  • 1P(xa1)
The probability distribution of a random variable is given below :
 X=x0 1 2 4 5 6 
 P(X=x)0 K 2K 2k3KK2 2K27K2+k 
Then P(0<X<5)=
  • 110
  • 310
  • 810
  • 710
Let X and Y be two random variables. The relationship E(XY)=E(X)E(Y) holds 
  • Always
  • If E(X+Y)=E(X)+E(Y) is true
  • If X and Y are independent
  • If X can be obtained from Y by a linear transformation
If the range of random variable X={0,1,2,...} and P(X=k)=c(k+1)2k for k=0,1,2,... then c=
  • 12
  • 13
  • 14
  • 15
A r.v.XB(n,p). If values of mean and variance of X are 18 and 12 respectively then total number of possible values of X are
  • 54
  • 55
  • 12
  • 18
If X is a binomial variate with the range {0,1,2,3,4,5,6} and P(X=2)=4P(X=4), then the parameter of X is
  • 13
  • 12
  • 23
  • 34
If the p.d.f of a r.v.X is given as
xi21012
P(X=xi)0.20.30.150.250.1
then F(0)=
  • P(X<0)
  • P(X>0)
  • 1P(X>0)
  • 1P(X<0)
The value of k when f(x)=1x,0<x<4, is the p.d.f of r.v.x
  • 4
  • 14
  • 4
  • 14
If r.vX: waiting time in minutes for bus and p.d.f of X is given by
f(x)={15,0x50,otherwise
then probability of waiting time not more than 4 minutes is =...........
  • 0.3
  • 0.8
  • 0.2
  • 0.5
The probability distribution of X is
X0123
P(x)0.3k2k3k
The value of k is
  • 0.116
  • 0.7
  • 1
  • 0.3
For the following distribution function F(x) of a r.v X is given
x123456
F(x)0.20.370.480.620.851
Then P(3<x5)=
  • 0.48
  • 0.37
  • 0.27
  • 1.47
Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find E(X).
  • 143
  • 133
  • 123
  • 113
The expected value of the number of points, obtained in a single throw of die, is
  • 32
  • 52
  • 72
  • 92
X has three children in his family. What is the probability that all the three children are boys?
  • 18
  • 12
  • 13
  • 38
X has three children in his family. Probability of atleast two girls in the family is.....
  • 18
  • 12
  • 14
  • 34
If A and B are two non empty sets then (AB)C=
  • ACBC
  • ACBC
  • ABC
  • ACB
The probability distribution of a random variable X is given below:
x123456
P(X=x)aaabb0.3
If mean of X is 4.2, then a and b are respectively equal to
  • 0.3,0.2
  • 0.1,0.4
  • 0.1,0.2
  • 0.2,0.1
X has three children in his family. What is the probability of two or more boys in the family? 
  • 18
  • 12
  • 14
  • 38
X has three children in his family. The probability  of one girl and two boys is......
  • 18
  • 12
  • 14
  • 38
0:0:5


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Practice Class 12 Commerce Applied Mathematics Quiz Questions and Answers