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

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 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

The probability of an impossible event is.

• Positive A
• Zero B
• Negative C
• 1 D

Var (B/aX) =?

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

The result of no interest of an experiment is called.

• Contstant A
• even B
• Failure C
• Success D

Tossing two dice possble sampes are.

• 2 A
• 6 B
• 12 C
• 36 D

The probability of getting one red ball from a bag constaining 4 red, 3 white and 3 black balls is.

• 3/10 A
• 1/5 B
• 2/5 C
• 1/2 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

a measure of the chance that an uncertain event will occur.

• An experiment A
• An event B
• A probability C
• A trail D

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

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

Random variable is also called ___________.

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

The probability of a continuous random variable at x = a is ---------------

• One A
• Zero B
• Between 0 and 1 C
• More than one D

Probability distribution of a continuous random variable can be presented by

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

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

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

• 8 A
• 0 B
• 1/8 C
• 3 D

For two independent random variables, Var(x) = 14 and Var(Y ) = 5, then var (X-y) is equal to.

• 9 A
• 70 B
• 19 C
• None of these D