First Year ICS Statistics Chapter 7 Online MCQ Test (Random Variables)

Variance σ² is equal to E(y²) -  --------------------

• E(y) A
• [E(y)]² B
• E(y)² C
• E² (y) D

Which is the impossible event when a dice is rolled.

• 5 or 6 A
• 6 or 7 B
• 2 or 3 C
• 1 D

E(y-μ) is equal to

• E(y) A
• μ B
• zero C
• y-μ D

F (+∞) is always equal to:

• 0 A
• Two B
• One  C
• None of these D

E(X ± Y) =..............

• E(X) + E(Y) A
• E(X) - E (Y) B
• E(x) ± E (Y) C
• None of these D

If one event is unaffected by the outcome of another event, the two events are said to be

• Dependent A
• Independent B
• Mutually exclusive C
• Both b and c D

Probability distribution of a continuous random variable can be presented by

• tabular form A
• Formula B
• Curve C
• None of these D

• 4/10 A
• 2/10 B
• 1/10 C
• 0 D

For a constant k, the variance of k is

• zero A
• k² B
• k C
• none of these D

The numbered balls are paced in an urn, Numbers 1- 4 are red and numbers 5 -10 are blue. the probability that a ball drawn at random from the run is blue is.

• 0.1 A
• 0.4 B
• 0.6 C
• 1.0 D

A student soved 25 questions from first 50 questios of a book to be solved. The prob, that he will solve the remaining all questions.

• 0.25 A
• 0.51 B
• 1 C
• 0 D

E(x - μ) is equal to:

• E(x) A
• zero  B
• μ C
• X - μ D

Waht is the probability that a ball drawn at random from the bag is.

• 0.1 A
• 0.4 B
• 1.0 C
• Cannot be determined from given information D

Var (KY) = ......................

• KY A
• K² Var(Y) B
• K²Var (Y) C
• None of these D

The probability of a continuous random variable at x = a is ---------------

• One A
• Zero B
• Between 0 and 1 C
• More than one D

If mean = 25 and variance is also 25, then coefficient of variation is

• 100% A
• 25% B
• 20% C
• 10% D

The probability of getting an odd number when a balanced die is rolled is.

• 1/2 A
• 1/3 B
• 1/4 C
• 1/6 D