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

The probability of an impossible event is.

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

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

• 0 A
• 1 B
• 13 C
• All of them D

E(Y2) -[E(y)]2 is the formula, and to compute.

• Variance of the random variable A
• Mean of the random variable B
• Both A and B C
• None of these D

The probability of continuous random variable at x = a is__________.

• One A
• Zero B
• Between C
• More then one D

A probability function is _________ function.

• Mathematical A
• Mathematical expectation B
• Converges C
• None of these D

A random variable is also called.

• Chance variable A
• Stochastic variable B
• Discrete variable C
• Both A and B D

A student soved 25 questions from first 50 questios of a book to be solved. The prob, that he will solve the remaining all questions.

• 0.25 A
• 0.51 B
• 1 C
• 0 D

• 8 A
• 0 B
• 1/8 C
• 3 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

• 4/10 A
• 2/10 B
• 1/10 C
• 0 D

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

• 100% A
• 25% B
• 20% C
• 10% D

For discrete random variable 'X' the expectation of X I-e E(x) is equal to:

• Σp(x) A
• Σxp(x) B
• Σx²p(x) C
• One 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

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

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

Var (3x + 2)

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

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

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

Hourly temperature recorded by weather brave is the example of:

• Discrete variable A
• Continuous variable B
• Qualitative C
• Both A and B D