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Test: Theoretical Distributions- 1

40 Questions MCQ Test Quantitative Aptitude for CA CPT | Test: Theoretical Distributions- 1

Description

This mock test of Test: Theoretical Distributions- 1 for CA Foundation helps you for every CA Foundation entrance exam. This contains 40 Multiple Choice Questions for CA Foundation Test: Theoretical Distributions- 1 (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Theoretical Distributions- 1 quiz give you a good mix of easy questions and tough questions. CA Foundation students definitely take this Test: Theoretical Distributions- 1 exercise for a better result in the exam. You can find other Test: Theoretical Distributions- 1 extra questions, long questions & short questions for CA Foundation on EduRev as well by searching above.

QUESTION: 1

(Direction 1 - 40) Write down the correct answers. Each question carries 1 mark.

Q. A theoretical probability distribution.

A.
does not exist.
B.
exists only in theory.
C.
exists in real life.
D.
both (b) and (c).

Solution:

QUESTION: 2

Probability distribution may be

A.
discrete.
B.
continuous.
C.
infinite.
D.
both (a) and (b).

Solution:

QUESTION: 3

An important discrete probability distribution is

A.
Poisson distribution.
B.
Normal distribution.
C.
Cauchy distribution.
D.
Log normal distribution.

Solution:

QUESTION: 4

An important continuous probability distribution

A.
Binomial distribution.
B.
Poisson distribution.
C.
Geometric distribution.
D.
Chi-square distribution.

Solution:

QUESTION: 5

Parameter is a characteristic of

A.
population.
B.
sample.
C.
probability distribution.
D.
both (a) and (b).

Solution:

QUESTION: 6

An example of a parameter is

A.
sample mean.
B.
population mean.
C.
binomial distribution.
D.
sample size.

Solution:

QUESTION: 7

A trial is an attempt to

A.
make something possible.
B.
make something impossible.
C.
prosecute an offender in a court of law.
D.
produce an outcome which is neither certain nor impossible.

Solution:

QUESTION: 8

The important characteristic(s) of Bernoulli trials

A.
each trial is associated with just two possible outcomes.
B.
trials are independent.
C.
trials are infinite.
D.
both (a) and (b).

Solution:

QUESTION: 9

The probability mass function of binomial distribution is given by

A.
f(x) = p^x q ^n–x.
B.
f(x) = ⁿc_xp^x q ^n–x.
C.
f(x) = ⁿc_x q^x p ^n–x.
D.
f(x) = ⁿc_x p^n–x q ^x.

Solution:

QUESTION: 10

If x is a binomial variable with parameters n and p, then x can assume

A.
any value between 0 and n.
B.
any value between 0 and n, both inclusive.
C.
any whole number between 0 and n, both inclusive.
D.
any number between 0 and infinity.

Solution:

QUESTION: 11

A binomial distribution is

A.
never symmetrical.
B.
never positively skewed.
C.
never negatively skewed.
D.
symmetrical when p = 0.5.

Solution:

QUESTION: 12

The mean of a binomial distribution with parameter n and p is

A.
n (1– p).
B.
np (1 – p).
C.
np.
D.

Solution:

QUESTION: 13

The variance of a binomial distribution with parameters n and p is

A.
np² (1 – p).
B.
C.
nq (1 – q).
D.
n²p² (1– p)².

Solution:

QUESTION: 14

An example of a bi-parametric discrete probability distribution is

A.
binomial distribution.
B.
poisson distribution.
C.
normal distribution.
D.
both (a) and (b).

Solution:

QUESTION: 15

For a binomial distribution, mean and mode

A.
are never equal.
B.
are always equal.
C.
are equal when q = 0.50.
D.
do not always exist.

Solution:

QUESTION: 16

The mean of binomial distribution is

A.
always more than its variance.
B.
always equal to its variance.
C.
always less than its variance.
D.
always equal to its standard deviation.

Solution:

QUESTION: 17

For a binomial distribution, there may be

A.
one mode.
B.
two mode.
C.
(a).
D.
(a) or (b).

Solution:

QUESTION: 18

The maximum value of the variance of a binomial distribution with parameters n and p is

A.
n/2.
B.
n/4.
C.
np (1 – p).
D.
2n.

Solution:

QUESTION: 19

The method usually applied for fitting a binomial distribution is known as

A.
method of least square.
B.
method of moments.
C.
method of probability distribution.
D.
method of deviations.

Solution:

QUESTION: 20

Which one is not a condition of Poisson model?

A.
the probability of having success in a small time interval is constant.
B.
the probability of having success more than one in a small time interval is very small.
C.
the probability of having success in a small interval is independent of time and also of earlier success.
D.
the probability of having success in a small time interval (t, t + dt) is kt for a positive constant k.

Solution:

QUESTION: 21

Which one is uniparametric distribution?

A.
Binomial.
B.
Poisson.
C.
Normal.
D.
Hyper geometric.

Solution:

QUESTION: 22

For a Poisson distribution,

A.
mean and standard deviation are equal.
B.
mean and variance are equal.
C.
standard deviation and variance are equal.
D.
both (a) and (b).

Solution:

QUESTION: 23

Poisson distribution may be

A.
unimodal.
B.
bimodal.
C.
Multi-modal.
D.
(a) or (b).

Solution:

QUESTION: 24

Poisson distribution is

A.
always symmetric.
B.
always positively skewed.
C.
always negatively skewed.
D.
symmetric only when m = 2.

Solution:

QUESTION: 25

A binomial distribution with parameters m and p can be approximated by a Poisson distribution with parameter m = np is

A.
m → ∝.
B.
p → 0.
C.
m → ∝ and p → 0.
D.
m → ∝ and p → 0 so that mp remainsfinite..

Solution:

QUESTION: 26

For Poisson fitting to an observed frequency distribution,

A.
we equate the Poisson parameter to the mean of the frequency distribution.
B.
we equate the Poisson parameter to the median of the distribution.
C.
we equate the Poisson parameter to the mode of the distribution.
D.
none of these.

Solution:

QUESTION: 27

The most important continuous probability distribution is known as

A.
Binomial distribution.
B.
Normal distribution.
C.
Chi-square distribution.
D.
sampling distribution.

Solution:

QUESTION: 28

The probability density function of a normal variable x is given by

A.
B.
C.
D.
none of these.

Solution:

QUESTION: 29

The total area of the normal curve is

A.
one.
B.
50 per cent.
C.
0.50.
D.
any value between 0 and 1.

Solution:

QUESTION: 30

The normal curve is

A.
Bell-shaped.
B.
U- shaped.
C.
J- shaped.
D.
Inverted J – shaped.

Solution:

QUESTION: 31

The normal curve is

A.
positively skewed.
B.
negatively skewed.
C.
Symmetrical.
D.
all these.

Solution:

QUESTION: 32

Area of the normal curve is

A.
between – ∝ to µ is 0.50.
B.
between µ to ∝ is 0.50.
C.
between – ∝ to ∝ is 0.50.
D.
both (a) and (b).

Solution:

QUESTION: 33

The cumulative distribution function of a random variable X is given by

Solution:

QUESTION: 34

The mean and mode of a normal distribution

A.
may be equal.
B.
may be different.
C.
are always equal.
D.
(a) or (b).

Solution:

QUESTION: 35

The mean deviation about median of a standard normal variate is

A.
0.675 σ.
B.
0.675.
C.
0.80 σ.
D.
0.80.

Solution:

QUESTION: 36

The quartile deviation of a normal distribution with mean 10 and SD 4 is

A.
0.675.
B.
67.50.
C.
2.70.
D.
3.20.

Solution:

QUESTION: 37

For a standard normal distribution, the points of inflexion are given by

A.
µ – σ and µ + σ.
B.
– σ and σ.
C.
–1 and 1.
D.
0 and 1.

Solution:

QUESTION: 38

The symbol φ (a) indicates the area of the standard normal curve between

A.
0 to a.
B.
a to ∞.
C.
– ∝ to a.
D.
– ∝ to ∝.

Solution:

QUESTION: 39

The interval (µ - 3σ, µ + 3σ) covers

A.
95% area of a normal distribution.
B.
96% area of a normal distribution.
C.
99% area of a normal distribution.
D.
all but 0.27% area of a normal distribution.

Solution:

QUESTION: 40

Number of misprints per page of a thick book follows

A.
Normal distribution .
B.
Poisson distribution.
C.
Binomial distribution.
D.
Standard normal distribution.

Solution:

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Test: Theoretical Distributions- 1

40 Questions MCQ Test Quantitative Aptitude for CA CPT | Test: Theoretical Distributions- 1