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

Tossing two dice possble sampes are.

• 2 A
• 6 B
• 12 C
• 36 D

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

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

F(-∞) is always equal to

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

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

The probability of an event connot be.

• = 0 A
• > 0 B
• =1 C
• < 0 D

Why are the outcomes of a coin tossing mutually exclusive.

• The outcome of any toss is not affected by teh outcome of those preceding it. A
• Both a head and a tail cannot turn up on any one toss B
• The probability of getting a head and the probability of getting a tail is the same. C
• All of these D

The probability of an impossible event is.

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

The probability of drawing a king of spade from a pack of 52 cards is.

• 1/4 A
• 1/13 B
• 1/26 C
• 1/52 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

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

Events with equal probabilities are called.

• Mutually exclusive events A
• Exhauative events B
• Eqauily likely events C
• Simple events D

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

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

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

• 3/8 A
• 1/2 B
• 1/8 C
• 1/4 D

Hourly temperature recorded by weather brave is the example of:

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

The simplest form of the continues distribution is the

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