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

This online test contains MCQs about following topics:

Introduction to random variables . Random numbers and their generation . Application of random number . Concept of random variable and their construction from different fields . Discreate and continuous random variables

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MCQ's Test For Chapter 7 "Statistics Ics Part 1 Chapter 7 Online Test"

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Statistics Ics Part 1 Chapter 7 Online Test

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Question # 1

The probability of getting one red ball from a bag constaining 4 red, 3 white and 3 black balls is.

Question # 2

The probability of red card out of 52 cards is.

Question # 3

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

Question # 4

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

Question # 5

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

Question # 6

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

Question # 7

If mean = 25 and variance is also 25, then coefficient of variation is

Question # 8

E(X ± Y) =..............

Question # 9

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

Question # 10

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

Question # 11

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

Question # 12

For two independent random variables, Var(x) = 14 and Var(Y ) = 5, then var (X-y) is equal to.

Question # 13

The Area of trapezoid is equal to:

Question # 14

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

Question # 15

A lettter is chosen at random from the word STATITICS , The probability of getting a vowel is.

Question # 16

The probability distribution of discrete random variable is called is

Question # 17

Hourly temperature recorded by weather brave is the example of:

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ICS Part 1 Statistics Chapter 7 MCQs Test

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Sr.# Question Answer
1 If x and y are independent random variables, then E(xy)
A. E(xy)
B. xE(y)
C. E(x)
D. E(x)E(y)
2 The properties of discrete probability distribution are:
A. Σp (x) = 1 and Σx. (x) = 1
B. ΣP (x)= 1 and Σx. P
C. ΣP(x) = 1 and 0 < P(x) ≤ 1
D. All of these above
3 If x is a random variable with E(x) = 5 then E (3x - 2) =
A. 0
B. 1
C. 13
D. 15
4 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.
A. 0.1
B. 0.4
C. 0.6
D. 1.0
5 The probability of drawan any one spade card is.
A. 1/32
B. 1/18
C. 1/4
D. 4/13
6 The probability of red card out of 52 cards is.
A. 1/4
B. 1/2
C. 4/52
D. zero
7 If y =-7x then E(y) = ...............
A. E(x)
B. -7X
C. -7E(X)
D. Zero
8 The simplest form of the continuous distribution is the.
A. Skewed distribution
B. Kurtic distribution
C. Binomial distribution
D. Uniform distribution
9 For a constant k, the variance of k is
A. zero
B. k2
C. k
D. none of these
10 What is the probability that a value chosen at random from a particular population is larger than the median of the popultion.
A. 0.25
B. 0.5
C. 1.0
D. 0.67
11 E(x - μ) is equal to:
A. E(x)
B. zero 
C. μ
D. X - μ
12 Variance σ2 is equal to E(y2) -  --------------------
A. E(y)
B. [E(y)]2
C. E(y)2
D. E2 (y)
13 The Area of trapezoid is equal to:
A. sum of paralled sides x base
B. sum of paralled sides x base/2
C. 2 x base x sum of paralled side 
D. Sum of paralled sides x base/4
14 When two coins are tossed simulataneously the probability of at most one head is.
A. 1/2
B. 1/4
C. 3/4
D. None of these
15 When a die and a coin are rolled together all possible outcomes are.
A. 2
B. 6
C. 12
D. 36
16 E(X ± Y) =..............
A. E(X) + E(Y)
B. E(X) - E (Y)
C. E(x) ± E (Y)
D. None of these
17 When three coins are tossed simulatneously, P(3 heads) is.
A. 3/8
B. 1/2
C. 1/8
D. 1/4

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