A constructor has two subcontractors for his excavation work. Experience shows that in 60% of ne time, subcontractor A was available to do a job, whereas subcontractor B was available 80% f the time. Also, the contractor is able to get at least one of these two subcontractors 90% of the me. a. What is the probability that both subcontractors will be available to do the next job b. If the contractor learned that subcontractor A is not available for the job, what is the probability that the other subcontractor will be available c. Suppose Ea denotes the event that subcontractor A is available, and Es denotes that subcontractor B is available. i. Are Es and En statistically independent? Explain ii. Are Ea and Es mutually exhaustive? Explain iii. Are Es and Es collectively exhaustive? Explain

A constructor has two subcontractors for his excavation work. Experience shows that in 60% of ne time, subcontractor A was available to do a job, whereas subcontractor B was available 80% f the time. Also, the contractor is able to get at least one of these two subcontractors 90% of the me. a. What is the probability that both subcontractors will be available to do the next job b. If the contractor learned that subcontractor A is not available for the job, what is the probability that the other subcontractor will be available c. Suppose Ea denotes the event that subcontractor A is available, and Es denotes that subcontractor B is available. i. Are Es and En statistically independent? Explain ii. Are Ea and Es mutually exhaustive? Explain iii. Are Es and Es collectively exhaustive? Explain

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Description: A constructor has two subcontractors for his excavation work. Experience shows that in 60% ofthe time, subcontractor A was available to do a job, whereas subcontractor B was available 80%of the time. Also, the contractor is able to get at least one

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

A constructor has two subcontractors for his excavation work. Experience shows that in 60% of
the time, subcontractor A was available to do a job, whereas subcontractor B was available 80%
of the time. Also, the contractor is able to get at least one of these two subcontractors 90% of the
time.
а.
What is the probability that both subcontractors will be available to do the next job
b. If the contractor learned that subcontractor A is not available for the job, what is the
probability that the other subcontractor will be available
c. Suppose EA denotes the event that subcontractor A is available, and Er denotes that
subcontractor B is available.
i.
Are E4 and Eß statistically independent? Explain
ii.
Are Ea and EB mutually exhaustive? Explain
iii.
Are E4 and EB collectively exhaustive? Explain
14:19
30.04.2021

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