PSTAT 120A Study Guide - Final Guide: Central Limit Theorem, Exponential Distribution, Probability Distribution
27 Jan 2020
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Below is a list of practice questions for the final exam. I would suggest also going over the practice problems and exams for exam 1 and exam 2 to help you prepare. Any quiz, homework, or example problem has a chance of being on the exam. If each customer"s time at the store is independent, use the. Central limit theorem to approximate the probability that 100 randomly selected customers spend between 950 and 1050 minutes at the store. Leave your answer in terms of the standard normal distribution (x). d= Solution: let xi be the time the ith customer spent in the store; we are given that xi. Exp( ) where = 1/10 (since e[xi] = 10 = 1/ ). Then x1, x2, , x100 are i. i. d. random variables and the central limit theorem tells us. N 2 z + n =p100(102) z + 100 10 = 100z + 1000.
