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

E(y-μ) is equal to

• E(y) A
• μ B
• zero C
• y-μ D

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

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

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

Var (3x + 2)

• 3 Var(X) + 2 A
• 3 Var X B
• 9 var (x) + 2 C
• 9 var (x) D

If x is a random variable with E(x) = 5 then E (3x - 2) =

• 0 A
• 1 B
• 13 C
• 15 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

For a constant K ,the variance of K.

• Zero A
• A^-2 B
• K C
• None of these D

The result of no interest of an experiment is called.

• Contstant A
• even B
• Failure C
• Success D

Which of the following is suitable for discrete probability distribution.

• Frequency polygon A
• Probability B
• Ogive C
• Histogram 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

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

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

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

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

• 100% A
• 25% B
• 20% C
• 10% D

Probability distribution of a continuous random variable can be presented by

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

• 8 A
• 0 B
• 1/8 C
• 3 D