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

The probability distribution of discrete random variable is called is

• Frequency distribution A
• Probability distribution B
• Probability mass function C
• Both (a) and (b) D

The probability of an event connot be.

• = 0 A
• > 0 B
• =1 C
• < 0 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

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

When two dice are rolled, the numebr of possible sample points is.

• 6 A
• 12 B
• 36 C
• 48 D

the term 'event' is used for.

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

The simplest form of the continues distribution is the

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

• 8 A
• 0 B
• 1/8 C
• 3 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

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

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

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

• 0 A
• 1 B
• 13 C
• All of them D

When two coins are tossed simultaneously, P (one head ) is.

• 1/2 A
• 1/4 B
• 3/4 C
• 1.0 D

The probability of drawing two acea from apack of 52 cards with replacement is.

• 1/169 A
• 1/10 B
• 1/4 C
• 1/256 D

A random variable is also called.

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

E(X ± Y) =..............

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