STAT 3502 Study Guide - Quiz Guide: Sampling Distribution, Linear Combination, Bias Of An Estimator

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Stat 3502: probability and statistics - assignment 4 solution. [5 marks] the mean and variance of the wait time (in minutes) for customers at a bank are 5 and 1. 96, respectively. Determine the probability that: [1 mark] a randomly selected customer waits 5 minutes or less, [2 marks] the mean wait time in a random sample of 36 customers is between 4. 8 and. 5. 5 minutes: [2 marks] the mean wait time in a random sample of 36 customers is at most 5. 5 minutes given the mean wait time is longer than 4. 5 minutes. Justify your answer if you can"t nd the probability. P (4. 8 < x < 5. 5) = p (cid:18)z < = (2. 14) ( 0. 86) = 0. 9838 0. 1949 = 0. 7889: x approx n (5, 0. 2333) P ( x < 5. 5| x > 4. 5) = P ( x < 5. 5) p ( x < 4. 5) [8 marks] there are two tra c lights on alice"s route to and from work.