(a) If X is the number of members selected who have major disagreements with the wage-package, what is the name of the discrete distribution X has and what are its parameters. (b) What is the probability that exactly 5 members have major disagreements with the wage-package? (c) What is the probability that at least two members selected have major disagreements with the wage- package?

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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This is a Statistics problem. Please explain each step thoroughly and code in R, if needed. 

Ten members of a large union were randomly selected to ascertain the opinions concerning a new wage-
package proposal. If we assume 60% of all members have a major disagreement with the wage-package,
answer the following questions.
(a) If X is the number of members selected who have major disagreements with the wage-package, what is the
name of the discrete distribution X has and what are its parameters.
(b) What is the probability that exactly 5 members have major disagreements with the wage-package?
(c) What is the probability that at least two members selected have major disagreements with the wage-
package?
(d) What the expected number of members selected who have major disagreements with the wage-package?
What is the variance?
Transcribed Image Text:Ten members of a large union were randomly selected to ascertain the opinions concerning a new wage- package proposal. If we assume 60% of all members have a major disagreement with the wage-package, answer the following questions. (a) If X is the number of members selected who have major disagreements with the wage-package, what is the name of the discrete distribution X has and what are its parameters. (b) What is the probability that exactly 5 members have major disagreements with the wage-package? (c) What is the probability that at least two members selected have major disagreements with the wage- package? (d) What the expected number of members selected who have major disagreements with the wage-package? What is the variance?
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