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

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

• 3/8 A
• 1/2 B
• 1/8 C
• 1/4 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

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

 Var (3x+2)

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

What is the probability that a value chosen at random from a particular population is larger than the median of the popultion.

• 0.25 A
• 0.5 B
• 1.0 C
• 0.67 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

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

• E(xy) A
• xE(y) B
• E(x) C
• E(x)E(y) D

The simplest form of the continuous distribution is the.

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

A random variable is also called.

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

Variance σ² is equal to E(y²) -  --------------------

• E(y) A
• [E(y)]² B
• E(y)² C
• E² (y) D

probability distribution of a continuous random variable can be presented by.

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

• 8 A
• 0 B
• 1/8 C
• 3 D

Var (B/aX) =?

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

The result of no interest of an experiment is called.

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

Tossing two dice possble sampes are.

• 2 A
• 6 B
• 12 C
• 36 D