10. Suppose a group of fteen pirates has raided a coastal village, and evenly split the gains that each of them made during this raid, so that each

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10. Suppose a group of fifteen pirates has raided a coastal village, and evenly split the gains that each of them made duringthis raid, so that each pirate has 57 gold coins. Then one of them finds a treasure chest with 75 gold coins. What willbe each pirates share after they split the newly found gold coins from the treasure chest? At an middle school, the 50 children in a class are seeing how many books they can read in a month. The teacher has25 candy bars and has promised to give one to each student who reads 5 or more books in that month. The averagenumber of books read turns out to be 2.3. Does the teacher have enough candy bars to keep her promise? (a) Suppose you have a list such that all the entries are either 0 or 1. If the length of the list is n and k of the entriesare 1, show that the average of the list must be k/n. (b) Find the variance of this list.In an elementary school, there were two fourth—grade sections, with 10 students and 15 students respectively. They took a standardized math test. The first section had an average score of 15 points out of 20 and an SD of 5 points.The second section had an average score of 10 points out of 20 and also had an SD of 5 points. (a) What is the average of the entire (combined) fourth grade class? (b) What is the SD of the scores of the entire fourth—grade (combining both sections)? You may leave the answer asa numerical expression, but please show all your work very clearly.