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

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

Random variable is also called ___________.

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

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

• 1/2 A
• 1/4 B
• 3/4 C
• 1.0 D

When two coins are tossed simulataneously the probability of at most one head is.

• 1/2 A
• 1/4 B
• 3/4 C
• None of these 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

F(-∞) is always equal to

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

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

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

• 8 A
• 0 B
• 1/8 C
• 3 D

Tossing two dice possble sampes are.

• 2 A
• 6 B
• 12 C
• 36 D

When a die and a coin are rolled together all possible outcomes are.

• 2 A
• 6 B
• 12 C
• 36 D

The numbered balls are paced in an urn, Numbers 1- 4 are red and numbers 5 -10 are blue. the probability that a ball drawn at random from the run is blue is.

• 0.1 A
• 0.4 B
• 0.6 C
• 1.0 D

Probability distribution of a continuous random variable can be presented by

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

What is the probability that a value chosen at random from a particular population is larger than the median of the popultion.

• 0.25 A
• 0.5 B
• 1.0 C
• 0.67 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 simple probability of occurrence of an event in called the.

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

A lettter is chosen at random from the word STATITICS , The probability of getting a vowel is.

• 1/5 A
• 3/10 B
• 1/2 C
• 2/5 D