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

the collection of all possible outcome of a random experimnet is called.

• Sample point A
• Sure event B
• sample event C
• simple event 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

Why are the outcomes of a coin tossing mutually exclusive.

• The outcome of any toss is not affected by teh outcome of those preceding it. A
• Both a head and a tail cannot turn up on any one toss B
• The probability of getting a head and the probability of getting a tail is the same. C
• All of these 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

F(y₁) ≤ F(y₂) if

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

the term 'event' is used for.

• Time A
• Subaet of the sample space B
• Total number of outcomes C
• Probability D

 Var (3x+2)

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

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

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

Waht is the probability that a ball drawn at random from the bag is.

• 0.1 A
• 0.4 B
• 1.0 C
• Cannot be determined from given information D

When a pair of dice is rolled, the sum of upperemost dots vary from.

• 0 to 10 A
• 1 to 11 B
• 2 to 19 C
• 2 to 12 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

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

• 0 A
• 1 B
• 13 C
• All of them D

If the random variable x denotes the number of heads when three distinct coins are tossed, the x assumes values

• 0, 1, 2, 3 A
• 1, 3, 3, 1 B
• 1, 2, 3 C
• None of these D

• 4/10 A
• 2/10 B
• 1/10 C
• 0 D

F(-∞) is always equal to

• Zero A
• One B
• Two C
• Negative one 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

The probability of a continuous random variable at x = a is ---------------

• One A
• Zero B
• Between 0 and 1 C
• More than one D