Question 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.

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.

Question 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.'

Question 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?

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?

Attachment:- Decision-Science-Assignment.rar