MATH 142 Midterm: MATH142 South Carolina Exam 2.1
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Ground rules: the maximum points of this exam is 100, print your name at the top of this page in the upper right hand corner, this is a closed-book and closed-notes exam. Honor pledge for this exam: after you have nished the exam, please read the following statement and sign your name below it. 1: (under the similar setting as the troop-loading problem in hw). There are ve di erent types of troop (tank, ri eman, zooka, heavy, and warrior) a player will randomly choose to ll up ve identical landing crafts. Each craft can take one and only one type of troop. By ll up it means the maximum capacity of each craft for the chosen troop is always automatically reached. Let x denote the number of crafts which are lled up by warriors. Find the probability mass function of x and sketch the corresponding cumulative distribution function (please clearly explain your reasoning and show all the work.
