# A letter is known to have come from TATANAGAR or CALCUTTA. On the envelope just two consecutive letters TA are visible. The probability that the letter has come from CALCUTTA is

1.  4/11

2.  7/11

3.  1/22

4.  21/22

4

4/11

Explanation :
No Explanation available for this question

# In five cards are drawn at random from a pack of cards, the probability that they belong to different denominations is:

1.  3223/4165

2.  2332/4165

3.  2112/4165

4.  1221/4165

4

2112/4165

Explanation :
No Explanation available for this question

# Six boys and six girls are to sit around a round table. The probability that boys and girls sit alternately is:

1.  ∠5∠5/∠11

2.  ∠5∠6/∠11

3.  ∠6∠6/∠12

4.  ∠5∠6/∠12

4

∠5∠6/∠11

Explanation :
No Explanation available for this question

# Assuming that a year consists of 365 days. The probability that a group of 30 people have all different birthdays is

1.  365/36530

2.  30/36530

3.  365P30/36530

4.  364/36530

4

365P30/36530

Explanation :
No Explanation available for this question

# A random variable X takes the values 0, 1, and 2. If (X=1)=P(X=2) and P(X=0)=0.4, then the mean value of the random variable X is:

1.  0.2

2.  0.5

3.  0.7

4.  0.9

4

0.9

Explanation :
No Explanation available for this question

# The value of C for which P(X=k)=CK2 can be probability mass function of a random variable x that takes values 0,1,2,3,4 is:

1.  1/30

2.  1/10

3.  1/3

4.  1/15

4

1/30

Explanation :
No Explanation available for this question

# From a lot of 10 items containing 3 defectives, a sample of 4 items is drawn at random without replacement. The expected number of defective items is:

1.  3

2.  1.8

3.  1.2

4.  2.8

4

1.2

Explanation :
No Explanation available for this question

# If a random variable X has the following probability distribution. X=xi

1.  33/16

2.  31/16

3.  35/16

4.  29/16

4

31/16

Explanation :
No Explanation available for this question

# A random variable X has the probability distribution (X=x)

1.  I only

2.  II only

3.  both I and II

4.  neither I nor II

4

both I and II

Explanation :
No Explanation available for this question

1.  0.6

2.  0.8

3.  1.0

4.  0.3

4