F17\tHW\tC8 1. Consider\tthe\tresults\tof\ta\trecent\tsurvey\tof\t600\trandomly\tselected Mason\tstudents. Status Study\twhere they\tare\tliving Study\tin the Library Study\tin the Johnson Center Total Resident UG 100 80 80 260 Commuting UG 160 120 60 340 Total 260 200 140 600 a. What\tis\tthe\tprobability\tthat\ta\tstudent\tstudies\tin\tthe\tLibrary? b. What\tis\tthe\tprobability\tthat\ta\tstudent\tis\ta\tresident\tUG\tstudent? c. If\tthe\tstudent\tis\ta\tcommuting\tUG\tstudent,\twhat\tis\tthe\tprobability\tthat\tthe student\tstudies\tin\tthe\tJohnson\tCenter? d. If\tthe\tstudent\tis\ta\tresident\tUG\tstudent,\twhat\tis\tthe\tprobability\tthat\tthey study\tin\teither\tthe\tLibrary\tor\tthe\tJohnson\tCenter? e. Is\twhere\tthe\tstudent\tstudies\tindependent\tof\twhere\tthey\tlive?\tUse\ta formula\tto\tjustify\tyour\tanswer. 2. Sixty\tpercent\tof\tcollege\tstudents\twork\tat\tleast\thalf\ttime 50\tpercent\tof\tthe\tstudents who\twork\tat\tleast\thalf\ttime\thave\tchildren\tunder\t18\tyears\told. What\tis\tthe\tprobability that\ta\trandomly\tselected\tcollege\tstudent\tworks\tat\tleast\thalf\ttime\tand\thas\tchildren\tunder 18\tyears\told? 3. Write a program for the following game: ask user about a series of number. Every new number is added to a list: If sum of last three numbers is 10, then last two numbers are removed. If sum of last four numbers is 20, all numbers are removed from list If sum of all numbers is 44, the user wins and the program ends