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

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

If x and y are independent random variables, E(xy)

• E(XY) A
• xE(y) B
• E(XY) C
• E(X) . E(Y) 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

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

When two dice are rolled, the numebr of possible sample points is.

• 6 A
• 12 B
• 36 C
• 48 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

A random variable is also called.

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

Which of the following cannot be probability of an event.

• 0 A
• 1 B
• 0.32 C
• 1.00 D

The probability of red card out of 52 cards is.

• 1/4 A
• 1/2 B
• 4/52 C
• zero 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

• 4/10 A
• 2/10 B
• 1/10 C
• 0 D

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

• 2 A
• 6 B
• 12 C
• 36 D

The probability of getting an odd number when a balanced die is rolled is.

• 1/2 A
• 1/3 B
• 1/4 C
• 1/6 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

If one event is unaffected by the outcome of another event, the two events are said to be

• Dependent A
• Independent B
• Mutually exclusive C
• Both b and c 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

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