Assignment 05 - Chapter 03.pdf - ASSIGNMENT 5 Deadline...

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ASSIGNMENT 5 Deadline: Friday, October 27 th 2017 Question 1: Suppose that the number of accidents occurring on a highway each day is a Poisson random variable with parameter ? = 3 . a) Find the probability that 3 or more accidents occur today. b) Repeat part (a) under the assumption that at least 1 accident occurs today. Question 2: The time (in hours) required to repair a machine is an exponentially distributed random variable with parameter ? = 1 2 What is? a) The probability that a repair time exceeds 2 hours? b) The conditional probability that a repair takes at least 10 hours, given that its duration exceed 9 hours? Question 3: Use the standard normal distribution table (z-table) to find the z value. a) Find the probability that a standard normal variable will have a value more than -1.24 b) Find the probability that a standard normal variable will have a value between 1.12 and 3.67 c) Find the probability that a standard normal variable will have a value -2.09 and 0.12 d) Given that 𝑃(𝑍 ≤ 𝑧 ?
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