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

Which is the impossible event when a dice is rolled.

• 5 or 6 A
• 6 or 7 B
• 2 or 3 C
• 1 D

For two independent random variables, Var(x) = 14 and Var(Y ) = 5, then var (X-y) is equal to.

• 9 A
• 70 B
• 19 C
• None of these D

For a constant k, the variance of k is

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

Variance of σ² is equal E to (Y²) - _______?

• E (y) A
• [E(y)]² B
• E(y²) C
• None of these D

Var (KY) = ......................

• KY A
• K² Var(Y) B
• K²Var (Y) C
• None of these D

The probability of an event connot be.

• = 0 A
• > 0 B
• =1 C
• < 0 D

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

• 100% A
• 25% B
• 20% C
• 10% D

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

• 3/8 A
• 1/2 B
• 1/8 C
• 1/4 D

A random variable is also called.

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

The range of probability is between

• 0 to 2 A
• -1 to +1 B
• 0 to 8 C
• 0 to 1 D

the collection of all possible outcome of a random experimnet is called.

• Sample point A
• Sure event B
• sample event C
• simple event 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

The probability of a continuous random variable at x = a is ---------------

• One A
• Zero B
• Between 0 and 1 C
• More than one 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

• 8 A
• 0 B
• 1/8 C
• 3 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