Blog: MTH202 Quiz Probility

Question No. 1
If two light bulbs are chosen at random from 5 bulbs of which 3 are defective, then which of the following is the probability that none is defective?

1/10

2/10

2/7

2/8

Question No. 2

 If X and Y are independent random variables, then E(XY)is equal to

E(XY)

XE(Y)

YE(X)

E(x)E(y)

  

Question No. 3

 When a dice and a coin are tossed together, then which of the following is the sample space?

{1, 2, 3, 4, 5, 6}

{H, T}

{1H, 2H, 3H, 4T, 5T, 6T}

{1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}

 

Question No. 4

 If X and Y are independent random variables and a and b are constants, then Var(aX+bY)is equal to

aVar(X)+ bVar(Y)

(a+b)[Var(X)+ Var(Y)]

Var(aX)+ Var(bY)

a^2 Var(X)+ b^2 Var(Y)

 

Question No. 5

 An urn contains six red and nine blue balls. What is the probability that a ball chosen from the urn is blue?

9/15

15/9

6/15

15/6

Question No. 6

 If the Random Variable X denotes the number of heads when three distict coins are tossed, then X assumes the value

1,3,3,1

1,2,3

0,1,2

0,1,2,3

Question No. 7

 Let A and B be the mutually exclusive events such that P ( A ) = 0.6, P ( B ) = 0.2, then P ( A U B ) = ?

0.4

0.5

0.7

0.8

Question No. 8

A Random variable is also called a

Chance Variable

ConstantConstant

Constant

Question No. 9

 

If X and Y are random variables, then E(X-Y)is equal to

E(X)+E(Y)

E(X)-E(Y)

E(X+Y)

E(X-Y)

Question No. 10

 If E(5)=5, then find arithmetic mean willl be

0

1

10

5

Question No. 11

 Let A be the subset of B, then ------------

P( A ) = P ( B )
P( A ) < P ( B ) P( A ) > P ( B )
 P( A ) <= P ( B )
P( A ) = P ( B )

Question No. 12

 The addition law of probability for two disjoint events A and B is -------

P(A or B) = P (A) + P(B) - P (A and B)

P(A or B) = P (A) + P (B) - P(A) P(B)3

P(A or B) = P(A) + P(B) + P(A) P(B)

P(A or B) = P(A) + P(B)

Question No. 13

 If X and Y are random variables, then E(aX)is equal to

E(aX)
aE(X)
aX
None of these

Question No. 14

Let S = {1, 2, 3, 4, 5, 6}, A = {1, 3, 5}, B = {2, 4, 6}, then P(A U B) will be --------

0

1

1/2
2/3

  

Question No. 15

Suppose that A and B are events in a sample space S. If A and B are disjoint, could P(A)=0.6 and P(B)=0.5?

Yes

No

Question No. 16

 What is the probability of the number of one head when two fair coins are tossed?

1/4

2/4

Question No. 17

 Let A and B be the mutually exclusive events such that P(A) = 1/5 and P(B) = 3/5, then P(A U B) = ?

1/5

2/5

3/5

4/5

  

Question No. 18

 If A, B and C are any three events, then P( A U B U C) = ?

P(A) + P(B) + P(C) + P(A and B) + P (A and C) + P(B and C) + P(A and B and C)

P(A) + P(B) + P(C) - P(A and B) - P (A and C) - P(B and C)

P(A) + P(B) + P(C) - P(A and B) - P (A and C) - P(B and C) + P(A and B and C)

P(A) + P(B) + P(C) + P(A and B) + P (A and C) + P(B and C) - P(A and B and C)

Question No. 19

 In a lottery, players win the prize when they pick two digits that match, in the correct order, two digits kept secret. Which of the following is the probability of winning the prize?

1/9

1/10

1/99

1/100

  

Question No. 20

 Let A and B be the mutually exclusive events, then P(A and B) = ?

0

1

1/2

2/3