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4.21 The random variable x has the following discrete probability distribution: x p(x) 10 .2 13 120 11 .3 22 12 13 .2 .1 12 14 .2 Since the values that x can assume are mutually exclusive events, the event {x 12} is the union of three mutually exclusive events: {x = 10} U {x = 11} U {x = 12} a. Find P(x 12). b. Find P(x > 12). c. Find P(x 14). d. Find P(x = 14). e. Find P(x 11 or x >12).

4.21 The random variable x has the following discrete probability distribution: x p(x) 10 .2 13 120 11 .3 22 12 13 .2 .1 12 14 .2 Since the values that x can assume are mutually exclusive events, the event {x 12} is the union of three mutually exclusive events: {x = 10} U {x = 11} U {x = 12} a. Find P(x 12). b. Find P(x > 12). c. Find P(x 14). d. Find P(x = 14). e. Find P(x 11 or x >12).

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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4.21 The random variable x has the following discrete probability distribution: x p(x) 10 .2 13 120 11 .3 22 12 13 .2 .1 12 14 .2 Since the values that x can assume are mutually exclusive events, the event {x 12} is the union of three mutually exclusive events: {x = 10} U {x = 11} U {x = 12} a. Find P(x 12). b. Find P(x > 12). c. Find P(x 14). d. Find P(x = 14). e. Find P(x 11 or x >12).
Transcribed Image Text:4.21 The random variable x has the following discrete probability distribution: x p(x) 10 .2 13 120 11 .3 22 12 13 .2 .1 12 14 .2 Since the values that x can assume are mutually exclusive events, the event {x 12} is the union of three mutually exclusive events: {x = 10} U {x = 11} U {x = 12} a. Find P(x 12). b. Find P(x > 12). c. Find P(x 14). d. Find P(x = 14). e. Find P(x 11 or x >12).
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