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

The coins are tossed, the porbability of two tails is euql to.

• 1/2 A
• 1/4 B
• 3/4 C
• 1 D

• 4/10 A
• 2/10 B
• 1/10 C
• 0 D

If two coins are tossed, the probability of getting one head and one tail is.

• 1/4 A
• 2/4 B
• 3/4 C
• 2/3 D

Random variable is also called ___________.

• Chance stochasitc A
• Coverges  B
• Random C
• None of these D

• 8 A
• 0 B
• 1/8 C
• 3 D

For a constant K ,the variance of K.

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

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

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

a measure of the chance that an uncertain event will occur.

• An experiment A
• An event B
• A probability C
• A trail 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

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

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

• y₁ = y₂ A
• Y₁ > y₂ B
• 
  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

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

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

F(y₁) ≤ F(y₂) if

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