Question 4 (1 point} Suppose that 20,000 children in Pangaea were randomly surveyed as to the number of different vegetables they like to eat. The results are compiled above and are used as theoretical probabilities. Let X= the number of different vegetables Pangaean children like to eat. a. Use the table above, calculating as necessary to find the expected value ElX}. Enter answer rounded to nearest hundredth (2 places after decimal point}. Examples of correctly entered answers are: 34.55 1.67 23.95 0.03 7.50 -r b. Using the table above and your part (a) calculations, determine the population mean u Enter answer rounded to nearest hundredth (two places after decimal point). Examples of correctly entered answers: 11.41 3.26 0.07 5.10 A c. Using the table above and your part (a) calculations and answer, calculate the population standard deviation o Enter answer rounded to nearest hundredth (two places after decimal point). Examples of correctly entered answers: 11.41 3.26 0.07 5.10 A