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

 Var (3x+2)

• 3Var(x) + 2 A
•  9Var(x) +2 B
• Var (x) + 0  C
• 3Var (X) 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

If a is a constant then E(a) is equal to

• a A
• Square of a B
• Zero C
• 2a 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

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

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

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

• 8 A
• 0 B
• 1/8 C
• 3 D

F(y₁) ≤ F(y₂) if

• y₁= y₂ A
• Y₁>y₂ B
• y₁≤y₂ C
• y≥1/2 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

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

• 0 A
• 1 B
• 13 C
• All of them D

The probability of an impossible event is.

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

E(Y2) -[E(y)]2 is the formula, and to compute.

• Variance of the random variable A
• Mean of the random variable B
• Both A and B C
• None of these D

For a constant K ,the variance of K.

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

E(y-μ) is equal to

• E(y) A
• μ B
• zero C
• y-μ D

The range of probability is between

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