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

Var (3x + 2)

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

The range of probability is between

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

Var (B/aX) =?

• 1/aVar(X) A
• b²/a² Var(X) B
• b²/a Var(X) C
• None of these D

The simplest form of the continuous distribution is the.

• Skewed distribution A
• Kurtic distribution B
• Binomial distribution C
• Uniform distribution D

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

• E(x) A
• -7X B
• -7E(X) C
• Zero 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

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

• 0 A
• 1 B
• 13 C
• 15 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

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

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

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

Tossing two dice possble sampes are.

• 2 A
• 6 B
• 12 C
• 36 D

E(X ± Y) =..............

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

Which one is not an example of random experiments.

• A coin is tossed and the outcome is either a head or a tail A
• A six sided aid is rolled B
• All medical insurance clams received by a company in a given year. C
• Some one of person will be admitted to a hospital emergency room during any hour. D

When two coins are tossed simultaneously, P (one head ) is.

• 1/2 A
• 1/4 B
• 3/4 C
• 1.0 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

E(x) = Σxf(x) if it ________ absolutely.

• Equal A
• Converges B
• Discrete  C
• None of these D