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

Random variable is also called ___________.

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

F(-∞) is always equal to

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

The sum of probabilities of events of a sample space is always.

• Equal A
• Discrete B
• Continuous C
• Always greater then oen D

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

• 1/2 A
• 1/4 B
• 3/4 C
• 1 D

E(X ± Y) =..............

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

If two coins are tossed, the probability of getting one head and one tail is.

• 1/4 A
• 2/4 B
• 3/4 C
• 2/3 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

Which is the impossible event when a dice is rolled.

• 5 or 6 A
• 6 or 7 B
• 2 or 3 C
• 1 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

When two coins are tossed simulataneously the probability of at most one head is.

• 1/2 A
• 1/4 B
• 3/4 C
• None of these D

If x and y are independent random variables, then E(xy)

• E(xy) A
• xE(y) B
• E(x) C
• E(x)E(y) D

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

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

When two dice are rolled, the maximum totla on the two faces of dice will be.

• 2 A
• 6 B
• 12 C
• 36 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

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

A set of numerical values assigned to a sample space is called.

• Random sample A
• Random variable B
• Random numbers C
• Random experiment D