b) The following table gives a hypothetical percentage distribution of population of ve districts {P}, {Q}, {R}, {S} and {T} on the basis of poverty line and also on the basis of sex. (Interpreting data presentation methods) Proportion of Links and Percentage of Females District Local Population Below Above Government below the P L' P . L' Poverty Line overty me overt} me \" Required I. If the male population above poverty line for district {R} is 1.9 milliom then what is the total population of dist? 11. \"rst will be the male population above poverty line for district {P} if the female population below poverty line for {P} is 2.1 million? c) At Multiple industries, a machine produces circular bolts and, as a quality control test, 250' bolts were selected randomlv and the diameter of their heads measured as follows; Diameter of head [cmj anber of components l9.9?4? - 9.9?49 2 9.9?59 - 9.9?52 6 l9.9?53 - 9.9?55 8 9.9?56 - 9.9?53 15 l9.9?59 - 9.9?61 42 0.9?62 - 9.9?64 63 0.9?65 - 9.9?6? 49 0.9?63 - 9.9??9 25 l9.9??1 - 9.9??3 13 l9.9??4 - 9.9??6 12 l9.9??? - 9.9??9 4 0.9?89 - 9.9?82 1 1) Determine whether the customer is getting reasonable value if the label on the circular bolt advertises that the average diameter of the head is 0.9?642 cm. II) Buvers have threatened to return an},r bolts below DBMS cm. What percentages of bolts were returned to the factory? In a week, a company either has good sales of Zunits cur bad sales cf l units. In the rst week, the probability.F cfgccd sales is [1.6. In the second week, the probability of gccd sales is [1.3 if the sales in the rst week were good or [1.3 if the sales in the rst week were bad. What is the chance of total sales ever bcth weeks being? (I) 400 units (II) 200 units (III) 300 units | b} him Industries is considering the introduction of a new product to its existing product range. It has dened two levels of sales as \"high" and \"low" on which to base its decision and has estimated the charges at which each market level will occur together with the costs and consequential prots f loses. This information is summarizedbelow; Probability hIarket the product Do not market the \"@0300" product \"IlJltlll\" mm mm - The company's marketing manager suggests amarlret research survey be undertaken to provide nther information on which to base the decision. [in past experience, with a certain market research organization, the marketing manager assesses its ability to give good information in the light of subsequent actual sales achievements as follows; Actual Market research survey outcome Market \"high\" market \"low" Required I. Given that, to undertake the market research survey will cost 2D,l},, state whether or not there is a case for employing the market research organization II. Construct a decision tree for the problem with the alternatives of undertaking or not undertalcing the survey and to advise the company on its best course of action
