Amity MBA Solve Assignment For QUANTITATIVE TECHNIQUES IN MANAGEMENT ASSIGNMENT 3

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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"

                       

1. uniform probability distribution
2. binomial probability distribution
3. hypergeometric probability distribution
4. 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?

                       

1. 0.2592
2. 0.0142
3. 0.9588
4. 0.7408

 

QUESTION 3

 

The center of a normal curve is

                       

1. always equal to zero
2. is the mean of the distribution
3. cannot be negative
4. is the standard deviation

 

QUESTION 4

 

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

                       

1. decision tree
2. payoff table
3. matrix
4. sequential matrix

 

QUESTION 5

 

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

                       

1. Payoff criterion
2. expected value criterion
3. probability
4. expected value of perfect information

 

QUESTION 6

 

The expected opportunity loss of the best decision alternative is the

                       

1. expected monetary value
2. payoff
3. expected value of perfect information
4. None of these alternatives is correct.

 

QUESTION 7

 

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

                       

1. hypothesis
2. conclusion
3. confidence
4. significance

 

QUESTION 8

 

 The level of significance is the

                       

1. maximum allowable probability of Type II error
2. maximum allowable probability of Type I error
3. same as the confidence coefficient
4. same as the p-value

 

QUESTION 9

 

The level of significance in hypothesis testing is the probability of

                       

1. accepting a true null hypothesis
2. accepting a false null hypothesis
3. rejecting a true null hypothesis
4. 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"

                       

1. bounded form.
2. feasible form.
3. standard form.
4. alternative form.

 

QUESTION 11

 

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

                       

1. degenerate
2. infeasible
3. unbounded
4. 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

                       

1. m x n
2. m + n
3. m + n - 1
4. m + n + 1

 

QUESTION 13

 

Slack

 

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

 

QUESTION 14

 

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

                       

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

 

QUESTION 15

 

Bernoulli trial is

                       

1. Binomial experiment
2. Discrete probability distrtibution
3. Continuous probability distribution
4. None of the given

 

QUESTION 16

 

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

                       

1. Judgement Sampling
2. Random Sampling
3. Probability Sampling
4. All of these

 

QUESTION 17

 

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

                       

1. Conditional Table
2. Marginal Table
3. Utility Table
4. Marginal Analysis

 

QUESTION 18

 

PERT can be used in following kind of problem

                       

1. Ship building projects
2. Transportation projects
3. Military
4. All of these

 

QUESTION 19

 

OR emphasize on

                       

1. Optimal Solution
2. Better Solution
3. None of these
4. All of these

 

QUESTION 20

 

Techniques of OR is /are:

                       

1. LPP
2. Transportation
3. All of these
4. None of these

 

Assignment 3

QUESTION 1

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

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