**Quantitative Techniques in Management (EDL 104) - Semester I**

**Assignment 1**

CASE STUDY

Please read the case study given below and answer questions given at the end.

Case study:

Kushal Arora, a second year MBA student, is doing a study of companies going public for the first time. He is curious to see whether or not there is a significant relationship between the sizes of the offering (in crores of rupees) and the price per share after the issue. The data are given below:

Size (in crore of rupees) 108 39 68 51 10 4

Price ( in rupees) 12 13 19 12 6.5 4

QUESTION 1

You are required to calculate the coefficient of correlation for the above data set and comment what conclusion Kushal should draw from the sample.

**Assignment 2**

QUESTION 1

"A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a"

- uniform probability distribution
- binomial probability distribution
- hypergeometric probability distribution
- normal probability distribution

QUESTION 2

Four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that exactly two customers in the sample will default on their payments?

- 0.2592
- 0.0142
- 0.9588
- 0.7408

QUESTION 3

The center of a normal curve is

- always equal to zero
- is the mean of the distribution
- cannot be negative
- is the standard deviation

QUESTION 4

A tabular representation of the payoffs for a decision problem is a

- decision tree
- payoff table
- matrix
- sequential matrix

QUESTION 5

A decision criterion which weights the payoff for each decision by its probability of occurrence is known as the

- Payoff criterion
- expected value criterion
- probability
- expected value of perfect information

QUESTION 6

The expected opportunity loss of the best decision alternative is the

- expected monetary value
- payoff
- expected value of perfect information
- None of these alternatives is correct.

QUESTION 7

An assumption made about the value of a population parameter is called a

- hypothesis
- conclusion
- confidence
- significance

QUESTION 8

The level of significance is the

- maximum allowable probability of Type II error
- maximum allowable probability of Type I error
- same as the confidence coefficient
- same as the p-value

QUESTION 9

The level of significance in hypothesis testing is the probability of

- accepting a true null hypothesis
- accepting a false null hypothesis
- rejecting a true null hypothesis
- None of these alternatives is correct.

QUESTION 10

"Whenever all the constraints in a linear program are expressed as equalities, the linear program is said to be written in"

- bounded form.
- feasible form.
- standard form.
- alternative form.

QUESTION 11

"If an artificial variable is present in the basic variable column of simplex table, then the solution is"

- degenerate
- infeasible
- unbounded
- none of the above

QUESTION 12

The solution to a transportation problem with m - row and n - columns is feasible if number of positive allocations are

- m x n
- m + n
- m + n - 1
- m + n + 1

QUESTION 13

Slack

- Is the difference between the left and right sides of a constraint.
- Exists for each variable in a linear programming problem.
- None of these
- Both

QUESTION 14

To find the optimal solution to a linear programming problem using the graphical method

- find the feasible point that is at the highest location.
- find the feasible point that is closest to the origin.
- find the feasible point that is the farthest away from the origin.
- None of the alternatives is correct.

QUESTION 15

Bernoulli trial is

- Binomial experiment
- Discrete probability distrtibution
- Continuous probability distribution
- None of the given

QUESTION 16

Which of the following is method of selecting samples from a population

- Judgement Sampling
- Random Sampling
- Probability Sampling
- All of these

QUESTION 17

"When a problem has a large number of possible actions, we would normally use a”

- Conditional Table
- Marginal Table
- Utility Table
- Marginal Analysis

QUESTION 18

PERT can be used in following kind of problem

- Ship building projects
- Transportation projects
- Military
- All of these

QUESTION 19

OR emphasize on

- Optimal Solution
- Better Solution
- None of these
- All of these

QUESTION 20

Techniques of OR is /are:

- LPP
- Transportation
- All of these
- None of these

**Assignment 3**

QUESTION 1

Explain the scope of Operations Research with respect to 3 key areas/ phases of O.R

**Short Name or Subject Code:**

**QUANTITATIVE TECHNIQUES IN MANAGEMENT**

**Short Description:**

**Assignment 3**