### Description

**NMIMS Global Access**

**School for Continuing Education (NGA-SCE)**

**Course: Decision Science**

**Internal Assignment Applicable for September 2022 Examination**

**Assignment Marks: 30**

Instructions:

All Questions carry equal marks.

All Questions are compulsory

All answers to be explained in not more than 1000 words for question 1 and 2 and for

question 3 in not more than 500 words for each subsection. Use relevant examples,

illustrations as far as possible.

All answers to be written individually. Discussion and group work is not advisable.

Students are free to refer to any books/reference material/website/internet for attempting

their assignments, but are not allowed to copy the matter as it is from the source of

reference.

Students should write the assignment in their own words. Copying of assignments from

other students is not allowed.

Students should follow the following parameter for answering the assignment questions.

1. Avantika Mattoo working as an analyst in reputed pharmaceutical company wants to

invest her money in stocks. Her friends having expertise in stock market investments,

suggested her to invest money into ‘Reliance’ and ‘Maruti’ shares. Avantika’s economist

friend Niharika Dhar said there could be four different scenarios pertaining to the return

on Avantika’s investments. The figures of return on investment as per four different

scenarios presented in the table below.

Payoff

(profit

within one

month on

one unit of

share in

INR) Scenario 1 Scenario 2 Scenario 3 Scenario 4

Reliance

Industry ltd. 55 43 29 15

Maruti 26 38 43 51

1) Set up the opportunity loss table.

2) Draw the decision tree (Note: You may use any software for making tree diagram, but

snapshot of handwritten tree will be unacceptable)

3) According to Niharika’s latest research, she has assigned the following probabilities to

the four scenarios (states of nature), determine the EMV decision; P(s1) = 0.4 P(s2) = 0.1

P(s3) = 0.3 P(s4) = 0.2.

(Note: Do mention the decision based on the analysis clearly in few sentences.)

(10 Marks)

2. From the following data, check the correlation of ‘Migrants person’ (Migration form

Urban areas of J & K to another urban areas of J &K) with the below given variables.

Write your conclusion with respect to the correlation coefficient and Scatter Diagram.

Draw the scatter plot (you may use EXCEL, SPSS, Python, R etc.)

Perform the correlation for the following pairs of variables

Migrant person numbers V/s ‘Number of Factory/Workshop/Work shed etc.’

Migrant person number V/s ‘Number of commercial establishments’

Migrant person number V/s ‘Number of towns’

Migrant person number V/s ‘Population per sq. km.’

(Note: no need to calculate correlation coefficient manually, use EXCEL formula, or any

other software)

(Note regarding the data access: You can copy the data from this pdf document and paste it

into your EXCEL workbook; you may have to work on alignment if it is distorted in Excel.)

Data for the analysis

Districts Migrant

person

numbers

Number of

Factory/

Workshop/

Workshed

etc.

Number of

commercial

establishments

Number of

towns

Population

per sq. km.

Kupwara 2667 188 6571 10 2212

Badgam 5370 273 5552 9 1996

Leh(Ladakh) 2621 176 3898 3 1902

Kargil 650 61 1711 1 7635

Punch 2038 67 3605 3 1604

Rajouri 4011 236 4656 4 2390

Kathua 11306 504 6952 6 2079

Baramula 19382 663 12171 7 2871

Bandipore 4866 156 3258 3 1317

Srinagar 94844 3575 47986 5 4141

Ganderbal 3041 231 2418 3 1852

Pulwama 7939 257 4885 5 2087

Shupiyan 1700 30 1673 1 3007

Anantnag 13545 919 14079 12 2880

Kulgam 2621 243 3902 7 1619

Doda 2297 76 3016 2 1655

Ramban 1171 41 1768 3 783

Kishtwar 569 45 1765 1 23595

Udhampur 10873 549 6795 6 2475

Reasi 2085 28 3677 5 692

Jammu 139422 2410 46539 20 3034

Samba 5349 685 5162 6 1383

Source: Census of India.

(10 Marks)

3. a. The number of customers who enter a ‘German’ supermarket-Gandhinagar each hour is

‘normally’ distributed with a mean of 600 and a standard deviation of 200. The supermarket

is open 16 hours per day. What is the probability that the total number of customers who

enter the supermarket in one day is greater than 10,000?

(Note: Show the stepwise calculation and write the interpretation based on the final answer)

(5 Marks)

3. b. Shree Ganga Taploo University bookstore claims that 50% of its customers are satisfied with

the service and prices.

If this claim is true, what is the probability that in a random sample of 600 customers less

than 45% are satisfied with services and price?

(Note: Show the stepwise calculation and write the interpretation based on the final answer)

(5 Marks)

**Last date is 29th August 2022.**

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### Additional information

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