exam1sample

# exam1sample - MATH/STAT 418 Section 002 Exam 1 Sample...

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MATH/STAT 418 Section 002 2008/06/26 Exam 1 Sample Instructions: 1. There are six problems in this exam. The entire exam is worth 100 points and the point distribution is noted next to each problem. 2. Please show all work as detailed as possible in order to receive full credit. 3. The exam is closed book and closed notes, but you may have one double-sided 8.5” x 11”formula sheet, and you are allowed to use calculator. 4. The exam is 75 minutes. Name: ---------------------------------------------------------- PSU ID: -------------------------------------------------------

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1. (15 points) Consider the grid of points shown below. Suppose that the starting point is labeled A, you can go one step up or one step to the right at each move. This is continued until the point labeled B is reached. (a) How many different paths from A to B are possible? (b) If you are required to pass two points, C and D, in your journey, how many different paths from A to B are possible?
2. (15 points) Consider the expansion of ( ) 4 2 z y x + + . How many different terms are there in the expansion? What is the coefficient of the term z xy 2 ?

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3. (20 points) Suppose that 60% of students are men; 40% of the students wear

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