.n PM {In-u}: Plxl 0.35 0.20 0.15 11.10 0.10 0.06 0.05 mwaswun-na Suppose that 20.000 children in Pangaea were randomly surveyed as to the number of different vegetables theyr like to eat. The results are compiled above and are used as theoretical probabilities. Let X = the number of different vegetables Panga ean children like to eat a. Use the table above, calculating as necessary to nd the expected value ETX). Enter answer rounded to nearest hundredth (2 places after decimal polnt). Examples of correctly entered answers are: 34.55 1.67 23.95 0.03 150 :M b. Using the table above and your part [a] calculations, determine 'the population mean [1 Enter answer rounded to nearest hundredth (Mo places after declmal point). Examples of correctly entered answers: 11.41 3.26 0.0? 5.10 tr U c. Using the table above and your part {a} calculations and answer, calculate the population standard deviation 0 Enter answer rounded to nearest hundredth (two places after declmal point). Examples of correctly entered ans wers: 11.41 3.26 0.0? 5.10 :i'v