ELABORATEAnswer the following problems showing complete solution.Enclose final answers.ELABORATEExercise 2.1 (Sample Space and Events) The rise times (unit: min.) of a reactor fortwo batches are measured in an experiment.1. Define the sample space of the experiment.2. Define Ei where the reactor rise time of the first batch is less than 55 min. andE2 where the reactor rise time of the second batch is greater than 70 min.3. Find E¡ U E2, Ei N E2, and Ei'.4. Are Ei and E2 mutually exclusive?5. Are Ei and E2 exhaustive?Exercise 2.2 (Probability of Joint Event) Test results of scratch resistance and shockresistance for 100 disks of polycarbonate plastic are as follows:Shock ResistanceHigh (B)Low (B’)ScratchResistanceHigh (A)Low (A')8065Let A and A' denote the event that a disk has high scratch resistance and theevent that a disk has low scratch resistance, respectively. Let B and B' denotethe event that a disk has high shock resistance and the event that a disk has lowshock resistance, respectively.1. When a disk is selected at random, find the probability that both the scratchand shock resistances of the disk are high.2. When a disk is selected at random, find the probability that the scratch or

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Answered: Exercise 2.1 (Sample Space and Events)…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Exercise 2.1 (Sample Space and Events) The rise times (unit: min.) of a reactor for two batches are measured in an experiment. 1. Define the sample space of the experiment. 2. Define Ei where the reactor rise time of the first batch is less than 55 min. and E2 where the reactor rise time of the second batch is greater than 70 min. 3. Find E¡ U E2, Ei N E2, and Ei'. 4. Are Ei and E2 mutually exclusive? 5. Are Ei and E2 exhaustive? Engr. A. CUH-ING

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