Business Statistics and Research Methods MCQs

Question 1

According to Baye's theorem, conditional probability is equal to

Accepted Answer

$$\frac{{P\left( {{E_i}} \right).P\left( {A/{E_i}} \right)}}{{\sum\limits_{i = 1}^n {P\left( {{E_i}} \right).P\left( {A/{E_i}} \right)} }}$$

Answer

$$\frac{{P\left( {A/{E_i}} \right)}}{{\sum\limits_{i = 1}^n {P\left( {{E_1}} \right).P\left( {A/{E_i}} \right)} }}$$

Answer

$$\frac{{P\left( {{E_i}/A} \right).P\left( {{E_i}} \right)}}{{\sum\limits_{i = 1}^n {P\left( {{E_i}} \right)} }}$$

Answer

$$\frac{{P\left( {{E_i}/A} \right)}}{{\sum\limits_{i = 1}^n {\left( {{E_i}} \right)} }}$$

Question 2

If median = 54 and mean = 60, mode will be-

Accepted Answer

42

Answer

40

Answer

44

Answer

None of the above

Question 3

The fourth moment of Poisson Distribution is:

Accepted Answer

m + 3m2

Answer

m + m

Answer

m + 2m2

Answer

3m + 1

Question 4

Arrange the following steps in sequence for finding the correlation between variable. 1. Determine the two variables 'X' and 'Y'. 2. Variables 'X' and 'Y' are plotted on X-axis and Y-axis in the XY-plane. 3. Then correlation is determined by seeing the scatter diagram.

Accepted Answer

1, 2 and 3

Answer

2, 3 and 1

Answer

1, 3 and 2

Answer

3, 2 and 1

Question 5

If mean = 45, median = 48 and coefficient of skewness = -0.4, then the value of standard deviation will be

Accepted Answer

22.5

Answer

20.5

Answer

15.9

Answer

25.8

Question 6

Which of the following characteristics a sampling unit must have?

Accepted Answer

All of the above

Answer

Must cover the entire population

Answer

Non-overlapping

Answer

Distinct and unambiguous

Question 7

In which of the following distributions successive trials are taken without replacement?

Accepted Answer

Binomial distribution

Answer

Normal distribution

Answer

Poisson distribution

Answer

Both A and C

Question 8

If median = 27 and mean = 30 then mode will be

Accepted Answer

21

Answer

20

Answer

22

Answer

23

Question 9

Convert the annual trend equation "Y = 30 + 3.6x" into monthly trend equation

Accepted Answer

Y = 2.5 + 0.025x

Answer

Y = 2.5 + 0.3x

Answer

Y = 30 + 0.3x

Answer

Y = 2.5 + 3.6x