Use the following information to answer questions . A purchasing unit for a state government has found that 60% of the winning bids for office- Cleaning contracts come from regular bidders, 30% from occasional bidders, and 10% from first- uime bidders. The services provided by successful bidders are rated satisfactory or unsatisfactory anter one year on the job. Experience indicates that 90% of the jobs done by regular bidders are satisfactory, as are 80% of the jobs done by occasional bidders and 60% of the jobs done by first- time bidders.
1. What is the probability a job will be done by a first-time bidder and be satisfactory?
a. 0.06
b. 0.09
c. 0.10
d. 0.60
2. What is the probability that a job will be satisfactory?
a. 0.54
b. 0.60
c. 0.84
d. 0.95
3. Given that a job is satisfactory, what is the probability that it was done by a regular bidder?
a. 0.5778
b. 0.6141
c. 0.6429
d. 0.9000

1

 The  correct option is  A

2

 The  correct option is  C

3

 The  correct option is  C

Step-by-step explanation:

From the question we are told that

   The proportion of the winning bid from a regular bidder is  

   The proportion of the winning bid from a occasional bidders is  

     The proportion of the winning bid from a first- time bidders is  

    The proportion of  satisfactory jobs done by a regular bidders is

The proportion of  satisfactory jobs done by a occasional bidders is    

The proportion of  satisfactory jobs done by a first- time bidders is  

Generally the probability that a job will be done by a first-time bidder and be satisfactory is mathematically represented as

=>        

=>      

Generally the probability that a job will be satisfactory is mathematically represented as

=>    

Generally given that a job is satisfactory, what is the probability that it was done by a regular bidder is mathematically evaluated as

step-by-step explanation:

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step-by-step explanation:

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