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

The probability of an event connot be.

• = 0 A
• > 0 B
• =1 C
• < 0 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

E(X ± Y) =..............

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

For a constant k, the variance of k is

• zero A
• k² B
• k C
• none of these D

the term 'event' is used for.

• Time A
• Subaet of the sample space B
• Total number of outcomes C
• Probability D

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

• a A
• Square of a B
• Zero C
• 2a D

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

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

The probability distribution of discrete random variable is called is

• Frequency distribution A
• Probability distribution B
• Probability mass function C
• Both (a) and (b) 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

The probability of drawing two acea from apack of 52 cards with replacement is.

• 1/169 A
• 1/10 B
• 1/4 C
• 1/256 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

F (+∞) is always equal to:

• 0 A
• Two B
• One  C
• None of these 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

Is the tossing of two perfect coins the probability at least one head occur is.

• 1/4 A
• 1 B
• 1/2 C
• 3/4 D

The simple probability of occurrence of an event in called the.

• Joint probability A
• Conditional probability B
• Marginal probability C
• Subjective probability 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

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