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

• 4/10 A
• 2/10 B
• 1/10 C
• 0 D

If x is a random variable with E(x) = 5 then E (3x - 2) =

• 0 A
• 1 B
• 13 C
• 15 D

The probability of drawan any one spade card is.

• 1/32 A
• 1/18 B
• 1/4 C
• 4/13 D

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

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

The probability of drawing a king of spade from a pack of 52 cards is.

• 1/4 A
• 1/13 B
• 1/26 C
• 1/52 D

When a pair of dice is rolled, the sum of upperemost dots vary from.

• 0 to 10 A
• 1 to 11 B
• 2 to 19 C
• 2 to 12 D

When three coins are tossed simulatneously, P(3 heads) is.

• 3/8 A
• 1/2 B
• 1/8 C
• 1/4 D

The properties of discrete probability distribution are:

• Σp (x) = 1 and Σx. (x) = 1 A
• ΣP (x)= 1 and Σx. P B
• ΣP(x) = 1 and 0 < P(x) ≤ 1 C
• All of these above D

• 8 A
• 0 B
• 1/8 C
• 3 D

the term 'event' is used for.

• Time A
• Subaet of the sample space B
• Total number of outcomes C
• Probability D

Random variable is also called ___________.

• Chance stochasitc A
• Coverges  B
• Random C
• None of these D

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

• 100% A
• 25% B
• 20% C
• 10% D

F(-∞) is always equal to

• Zero A
• One B
• Two C
• Negative one D

If the random variable x denotes the number of heads when three distinct coins are tossed, the x assumes values

• 0, 1, 2, 3 A
• 1, 3, 3, 1 B
• 1, 2, 3 C
• None of these D

Variance of σ² is equal E to (Y²) - _______?

• E (y) A
• [E(y)]² B
• E(y²) C
• None of these D

Which of the following cannot be probability of an event.

• 0 A
• 1 B
• 0.32 C
• 1.00 D

For a constant k, the variance of k is

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