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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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
Transcribed Image Text: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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