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

The coins are tossed, the porbability of two tails is euql to.

• 1/2 A
• 1/4 B
• 3/4 C
• 1 D

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

• 3/8 A
• 1/2 B
• 1/8 C
• 1/4 D

The Area of trapezoid is equal to:

• sum of paralled sides x base A
• sum of paralled sides x base/2 B
• 2 x base x sum of paralled side  C
• Sum of paralled sides x base/4 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

If y =-7x then E(y) = ...............

• E(x) A
• -7X B
• -7E(X) C
• Zero D

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

• 0,1,2,3 A
• 1,3,3,1 B
• 1,2,3 C
• 1,1,1,1 D

Var (3x + 2)

• 3 Var(X) + 2 A
• 3 Var X B
• 9 var (x) + 2 C
• 9 var (x) D

The probability distribution of discrete random variable is called is

• Frequency distribution A
• Probability distribution B
• Probability mass function C
• Both (a) and (b) 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

the collection of all possible outcome of a random experimnet is called.

• Sample point A
• Sure event B
• sample event C
• simple event D

E(x - μ) is equal to:

• E(x) A
• zero  B
• μ C
• X - μ D

Is the tossing of two perfect coins the probability at least one head occur is.

• 1/4 A
• 1 B
• 1/2 C
• 3/4 D

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

• 100% A
• 25% B
• 20% C
• 10% D

• y₁ = y₂ A
• Y₁ > y₂ B
• 
  C
• None of these D

Probability distribution of a continuous random variable can be presented by

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

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

• 0 A
• 1 B
• 13 C
• 15 D

F(-∞) is always equal to

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