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Chapter:

30+ Unit 3 Solved MCQs

in Quantitative Techniques 2

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Economics (CBCS) .

Chapters

Chapter: Unit 3
1.

The outcome of tossing a coin is a

A. Simple event
B. Mutually exclusive event
C. Compound event
D. Complementary event
Answer» A. Simple event
2.

What is the probability of getting exactly one head in a single throw of two unbiased coins?

A. 1/2
B. 1/4
C. 3/4
D. 1
Answer» A. 1/2
3.

What is the probability of getting a black king from a standard pack of 52 cards?

A. 1/52
B. 2/52
C. 4/52
D. None of the above
Answer» B. 2/52
4.

What is the probability of getting exactly two tails in a single throw of 3 coins?

A. 1/8
B. 2/8
C. 3/8
D. 2/6
Answer» C. 3/8
5.

The value of probability lies between

A. 0 and ∞
B. -1 and +1
C. 0 and 1
D. 1 and 100
Answer» C. 0 and 1
6.

If a ball is drawn at random from a bag containing 4 white, 7 green and 10 black balls, what is the probability that it is a green ball?

A. 7/21
B. 4/21
C. 7/7
D. 1/21
Answer» A. 7/21
7.

The probability of the simultaneous occurrence of two events A and B is

A. P(A) + P(B
B. P(A) + P(B) – P(A∩B
C. P(A) – P(B
D. P(A) P(B/A), P(A) ≠0
Answer» A. P(A) + P(B
8.

_________ is calculated on the basis of past experience and on experiment conducted.

A. Classical probability
B. Empirical probability
C. Modern approach to probability
D. None of the above
Answer» B. Empirical probability
9.

Permutation refers to

A. Arrangements
B. Groups
C. Outcomes
D. Events
Answer» A. Arrangements
10.

In probability theories, events which can never occur together are called

A. Dependent events
B. Independent events
C. Mutually exclusive events
D. Non-mutually exclusive events
Answer» C. Mutually exclusive events
11.

If the happening of an event is not affected by the happening of other events, it is said to be

A. A dependent events
B. An independent events
C. Mutually exclusive events
D. Exhaustive cases
Answer» B. An independent events
12.

If it is known that an event A has occurred, the probability of an event B given A is called

A. Classical probability
B. Statistical probability
C. Posteriori probability
D. Conditional probability
Answer» D. Conditional probability
13.

In a discrete probability distribution, the random variables are

A. Natural numbers
B. Whole numbers
C. Imaginary numbers
D. Rational numbers
Answer» B. Whole numbers
14.

Binomial distribution is a ________ distribution.

A. Discrete probability
B. Continuous probability
C. Nonparametric discrete probability
D. None of the above
Answer» A. Discrete probability
15.

The parameters involved in binomial distribution is/are

A. n
B. p and q
C. n, p and q
D. n and p
Answer» D. n and p
16.

It is suitable to use binomial distribution for

A. Large value of ‘n’
B. Small value of ‘n’
C. Fractional value of ‘n’
D. Any value of ‘n’
Answer» B. Small value of ‘n’
17.

In a binomial distribution, if ‘n’ is the number of trials and ‘p’ is the probability of success, then the mean value is given by

A. n
B. √np
C. np
D. npq
Answer» C. np
18.

The variance of binomial distribution can be express as

A. pqr
B. np
C. npq
D. none of the above.
Answer» C. npq
19.

The standard deviation of binomial distribution is express as

A. npq
B. √np
C. �𝑛𝑛𝑛𝑛𝑛𝑛
D. Pq
Answer» C. �𝑛𝑛𝑛𝑛𝑛𝑛
20.

Variance of binomial distribution is maximum when

A. p < q
B. p = q
C. p > q
D. none of the above
Answer» B. p = q
21.

Poisson distribution is a ________ distribution.

A. Discrete probability
B. Continuous probability
C. Bi-parametric discrete probability
D. None of the above
Answer» A. Discrete probability
22.

A family of parametric distributions in which mean is equal to variance is

A. Binomial distribution
B. Poisson distribution
C. Normal distribution
D. All of the above.
Answer» B. Poisson distribution
23.

Poisson distribution is

A. Positively skewed distribution
B. Negatively skewed distribution
C. Not skewed distribution
D. All of the above
Answer» A. Positively skewed distribution
24.

Poisson distribution has only one parameter which is the

A. Mean
B. Variance
C. Standard variation
D. Mode
Answer» A. Mean
25.

If ‘m’ is the mean of a Poisson distribution, the variance is given by

A. m2
B. m
C. √m
D. m/2
Answer» B. m
26.

Poisson distribution with regard to peakedness is

A. Platykurtic
B. Mesokurtic
C. Leptokurtic
D. Depends on value of its parameter
Answer» C. Leptokurtic
27.

The outcomes of tossing a coin five times are a variable of the type

A. Continuous random variable
B. Discrete random variable
C. Neither discrete nor continuous random variable
D. Discrete as well as continuous random variable
Answer» B. Discrete random variable
28.

Which of the following is a continuous distribution

A. Poisson distribution
B. Binomial distribution
C. Normal distribution
D. All of the above
Answer» C. Normal distribution
29.

Normal distribution is also known as

A. Bernoulli distribution
B. Gaussian distribution
C. Laplacian distribution
D. Cauchy’s distribution
Answer» B. Gaussian distribution
30.

The value of constant ‘e’ appearing in normal distribution is

A. 3.1416
B. 2.1783
C. 2.7183
D. 2.8317
Answer» C. 2.7183
31.

In normal distribution

A. Mean < median < mode
B. Mean = median = mode
C. Mean > median > mode
D. Mean = median > mode
Answer» B. Mean = median = mode
32.

The normal distribution curve is

A. Positively skewed
B. not skewed
C. negatively skewed
D. None of the above
Answer» B. not skewed
33.

The shape of the normal curve is

A. Bell shaped
B. Flat
C. Circular
D. Spiked
Answer» A. Bell shaped
34.

The area under a standard normal curve is

A. 0
B.
C. 1
D. Not defined
Answer» C. 1
35.

The standard normal curve is symmetric about the value

A. 0
B.
C. 1
D. 1.5
Answer» A. 0
36.

For a normal curve, the QD, MD and SD are in the ratio

A. 1:2:3
B. 5:6:7
C. 9:10:11
D. 10:12:15
Answer» D. 10:12:15
37.

Under normal curve, the area enclosed by ‘ mean ± 2σ ’ is

A. 68.26%
B. 95.44%
C. 99.73%
D. 100%
Answer» B. 95.44%

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