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

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

For a constant k, the variance of k is

• zero A
• k² B
• k 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 result of no interest of an experiment is called.

• Contstant A
• even B
• Failure C
• Success 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

The probability of drawan any one spade card is.

• 1/32 A
• 1/18 B
• 1/4 C
• 4/13 D

• 4/10 A
• 2/10 B
• 1/10 C
• 0 D

Var (B/aX) =?

• 1/aVar(X) A
• b²/a² Var(X) B
• b²/a Var(X) C
• None of these D

F(y₁) ≤ F(y₂) if

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

E(X ± Y) =..............

• E(X) + E(Y) A
• E(X) - E (Y) B
• E(x) ± E (Y) C
• None of these D

Coefficient  of variation (C.V) is given below

• Mean /S.D x10 A
• Mean/S.D x 100 B
• S.D/Mean x 100  C
• S.D/ Mean  D

• 8 A
• 0 B
• 1/8 C
• 3 D

The Area of trapezoid is equal to:

• sum of paralled sides x base A
• sum of paralled sides x base/2 B
• 2 x base x sum of paralled side  C
• Sum of paralled sides x base/4 D

The simplest form of the continues distribution is the

• Skewed distribution A
• Kurtic distribution B
• Binomial distribution C
• Uniform distribution D

Which of the following cannot be probability of an event.

• 0 A
• 1 B
• 0.32 C
• 1.00 D

The simple probability of occurrence of an event in called the.

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

Which is the impossible event when a dice is rolled.

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