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

For a constant K ,the variance of K.

• Zero A
• A^-2 B
• K C
• None of these D

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

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

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

• 3/8 A
• 1/2 B
• 1/8 C
• 1/4 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 x and y are independent random variables, E(xy)

• E(XY) A
• xE(y) B
• E(XY) C
• E(X) . E(Y) D

The range of probability is between

• 0 to 2 A
• -1 to +1 B
• 0 to 8 C
• 0 to 1 D

If a Vann diagram is drawn for events A and B which are mutually exclusive, which f the folloiwng would always be true of A and B.

• Theire parts of the rectangle will overlap A
• Their parts fo the rectangle will be equal in area B
• Their parts of the rectangle will not overlap C
• None of these D

F(-∞) is always equal to.

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

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

• 1/2 A
• 1/4 B
• 3/4 C
• 1 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

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

If a is a constant then E(a) is equal to

• a A
• Square of a B
• Zero C
• 2a D

• 4/10 A
• 2/10 B
• 1/10 C
• 0 D

The probability of getting two red balls with replacement from a bag containing 4 red, 3 white and 3 black balls is.

• 4/25 A
• 1/25 B
• 9/100 C
• 2/25 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

F(y₁) ≤ F(y₂) if

• y₁= y₂ A
• Y₁>y₂ B
• y₁≤y₂ C
• y≥1/2 D

probability distribution of a continuous random variable can be presented by.

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