Midterm 2 Stats

Midterm 2 Stats - PSTAT 5E Summer 2009 Name Perm Midterm 2...

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PSTAT 5E Name: Summer 2009 Perm ˖ Midterm 2 Please follow the instructions carefully: x You have 75 minutes to complete the exam, and you should attempt all questions. Be sure to fully explain your answers. Answers without work will receive no credit. x Anyone found copying off of another student’s exam or consulting their textbook or notes during the exam will be given an “F” for the course. x You may use a calculator on the exam, but you may not use cell phone/pda/mp3 player as a calculator. x If you have two answers to a single question, you must cross-out the answer you don’t want graded and circle the answer you want graded. If you fail to do this, you will receive a zero on the problem. Please read each question carefully and good luck! 1. [5 points] The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes. (a). Find the mathematical expression for the probability density function. [1’] (b) Compute the probability that a student will take between 45 and 50 minutes to complete the examination. [2’] (b).What is the expected value and variance of the amount of time it takes a student to complete the examination? [2’] 2. [5 points] John parks cars at a hotel. On the average, 6 cars will arrive in an
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