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P&S main-3

Total questions: 11

Worksheet time: 2mins

Name
Class
Date
1.

 P(xi)=j=1np(xi , yj) for i=1,2,...m,  is calledP\left(x_i\right)=\sum_{j=1}^np\left(x_{i\ },\ y_j\right)\ for\ i=1,2,...m,\ \ is\ called  

a)

Marginal probability mass function of 'y'

b)

Marginal probability mass function of 'X'

c)

None of these

2.

 P(yj)=i=1nP(xi, yj),for j= 1,2,...,m, is calledP\left(y_j\right)=\sum_{i=1}^nP\left(x_i,\ y_j\right),for\ j=\ 1,2,...,m,\ is\ called  

a)

Marginal probability mass function of 'X'

b)

Marginal probability mass function of 'y'

c)

None of these

3.

If P(x,y) is the probability mass function of bivariate discrete random variable (x,y) ,then

 i=1mj=1nP(xi ,yj)=\sum_{i=1}^m\sum_{j=1}^nP\left(x_i\ ,y_j\right)=  

a)

0

b)

1

c)

2

d)

3

4.

If f(x,y) is the probability density function of bivariate continuous random variable (x,y),then

   f(x,y) dx dy =\int_{-\infty}^{\infty\ }\int_{-\infty}^{\infty}\ f\left(x,y\right)\ dx\ dy\ =  

a)

0

b)

1

c)

2

d)

3

5.

Mathematical expectation is also known as Expected value

a)

True

b)

False

6.

Mean of random variable 'X' is denoted by

a)

μ\mu

b)

ρ\rho

c)

σ\sigma

d)

None of these

7.

If 'X' is a d.r.v with p.m.f p(x) ,then the mean of 'X' is

a)

x p(x)\sum_{ }^{ }x\ p\left(x\right)

b)

x f(x)\int x\ f\left(x\right)

c)

None of these

8.

If 'X' is c.r.v with p.d.f 'f(x)' ,then the mean of 'X' is

a)

 x p(x)\sum_{ }^{ }x\ p\left(x\right)  

b)

 x f(x)\int x\ f\left(x\right)  

c)

None of these

9.

Variance of random variable 'X' is denoted by

a)

V(X)

b)

E(X)

c)

μ\mu

d)

None of these

10.

Identify traffic lights

a)
b)
c)
d)
11.

Identify the personality

a)

Obama

b)

Trump

c)

Bill Gates

d)

Narendra modi