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

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

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

The properties of discrete probability distribution are:

• Σp (x) = 1 and Σx. (x) = 1 A
• ΣP (x)= 1 and Σx. P B
• ΣP(x) = 1 and 0 < P(x) ≤ 1 C
• All of these above D

The simplest form of the continuous distribution is the.

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

The probability of an event connot be.

• = 0 A
• > 0 B
• =1 C
• < 0 D

If y =-7x then E(y) = ...............

• E(x) A
• -7X B
• -7E(X) C
• Zero D

The range of probability is between

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

• 8 A
• 0 B
• 1/8 C
• 3 D

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

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

The probability of getting an odd number when a balanced die is rolled is.

• 1/2 A
• 1/3 B
• 1/4 C
• 1/6 D

F(y₁) ≤ F(y₂) if

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

The probability of continuous random variable at x = a is__________.

• One A
• Zero B
• Between C
• More then one D

The probability of drawan any one spade card is.

• 1/32 A
• 1/18 B
• 1/4 C
• 4/13 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

Which of the following is suitable for discrete probability distribution.

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