Free Printable PQT(UNIT-1)

1.

THE PROBABILITY MASS FUNCTION OF ONE DIMENTIONAL DISCRETE RANDOM VARIABLE IS DENOTED BY

a)

p(x)

b)

f(x)

c)

p(x,y)

d)

f(x,y)

2.

THE PROBABILITY DENSITY FUNCTION OF ONE DIMENTIONAL CONTINUOUS RANDOM VARIABLE IS DENOTED BY

a)

p(x)

b)

f(x)

c)

p(x,y)

d)

f(x,y)

3.

THE TOTAL PROBABILITY VALUE IS EQUAL TO

a)

0

b)

1

c)

-1

d)

none of the above

4.

E(Ax+B) IS EQUAL TO

a)

E(A)

b)

AE(X)+B

c)

E(X)+B

d)

CONSTANT

5.

VAR(aX+b) IS EQUAL TO

a)

a^2VAR(X)

b)

.AE(X)+B

c)

E(X)+B

d)

CONSTANT

6.

VAR(CONSTANT) IS EQUAL TO

a)

1

b)

constant

c)

0

d)

none of the above

7.

E(CONSTANT) IS EQUAL TO

a)

1

b)

constant

c)

0

d)

none of the above

8.

THE MOMENT ABOUT THE MEAN IS CALLED

a)

0

b)

raw moment

c)

central moment

d)

none of the above

9.

THE MOMENT ABOUT THE ORIGIN IS CALLED

a)

raw moment

b)

0

c)

central moment

d)

none of the above

10.

THE VALUE OF FIRST MOMENT ABOUT MEAN IS CALLED

a)

2

b)

0

c)

-1

d)

3

11.

THE SECOND MOMENT ABOUT MEAN IS CALLED

a)

mean

b)

variance

c)

0

d)

skewness

12.

THE FIRST MOMENT ABOUT ORIGIN IS CALLED

a)

mean

b)

variance

c)

0

d)

skewness

13.

THE MOMENT GENERATING FUNCTION OF SUM OF n INDEPENDENT RANDOM VARIABLE IS EQUAL TO

a)

SUM OF MGF OF RANDOM VARIABLES

b)

DIFFERENCE OF MGF OF RANDOM VARIABLES

c)

PRODUCT OF MGF OF EACH RANDOM VARIABLES

d)

NONE OF THE ABOVE

14.

THE MEAN OF THE RANDOM VARIABLE X WHICH FOLLOWS BINOMIAL DISTRIBUTION IS

a)

np

b)

npq

c)

nq

d)

0

15.

THE VARIANCE OF THE RANDOM VARIABLE X WHICH FOLLOWS BINOMIAL DISTRIBUTION IS

a)

np

b)

nq

c)

npq

d)

0

16.

THE MEAN AND VARIANCE OF POISSON DISTRIBUTION ARE

a)

equal

b)

unequal

c)

0

d)

none of the above

17.

THE DISCRETE DISTRIBUTION WHICH FOLLOWS MEMORYLESS PROPERTY IS

a)

binomial

b)

poisson

c)

geometric

d)

none of the above

18.

THE CONTINUOUS DISTRIBUTION WHICH FOLLOWS MEMORYLESS PROPERTY IS

a)

uniform

b)

exponential

c)

normal

d)

none of the above

19.

THE UNIFORM DISTRIBUTION IS ALSO CALLED AS

a)

binomial

b)

rectangular

c)

normal

d)

none of the above

20.

THE MEAN OF THE RANDOM VARIABLE X WHICH FOLLOWS UNIFORM DISTRIBUTION IS

a)

$\frac{b+a}{2}$

b)

$\frac{b-a}{2}$

c)

$\frac{b+a}{4}$

d)

$\frac{ab}{4}$

21.

THE VARIANCE OF THE RANDOM VARIABLE X WHICH FOLLOWS UNIFORM DISTRIBUTION IS

a)

$\frac{\left(b+a\right)^2}{12}$

b)

$0$

c)

$\frac{\left(b-a\right)^2}{12}$

d)

$\frac{\left(ab\right)^2}{6}$

22.

The first four moments of a distribution about x = 4 are 1, 4, 10, 45. Find the mean

a)

3

b)

5

c)

0

d)

4

23.

The first four moments of a distribution about x = 4 are 1, 4, 10, 45. Find the Variance

a)

3

b)

5

c)

0

d)

4

24.

A R.V X has a uniform distribution over (-3,3), then P(X < 2) is

a)

$\frac{1}{3}$

b)

$\frac{2}{3}$

c)

$\frac{5}{6}$

d)

$\frac{1}{6}$

25.

The additive property is holds for

a)

binomial

b)

geommetric

c)

normal

d)

uniform

26.

A R.V X has a uniform distribution over (0,3),then P(X<2).

a)

$\frac{2}{3}$

b)

$\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$\frac{1}{4}$

27.

A R.V X has a uniform distribution over (-2,2),then P(X<3).

a)

$\frac{1}{4}$

b)

$\frac{2}{4}$

c)

$\frac{3}{4}$

d)

$\frac{4}{4}$

28.

Let X be a random variable with Var[X] = 1. Find Var (2-3X).

a)

8

b)

9

c)

3

d)

6

29.

Let X be a random variable with Var[X] = 5. Find Var (3-2X).

a)

10

b)

5

c)

20

d)

6

30.

Let X be a random variable with E[X] = 1. Find E (2-3X).

a)

-1

b)

2

c)

3

d)

0

PQT(UNIT-1)

Total questions: 30

Worksheet time: 15mins

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