Answer:
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 [tex]P(R) = 0.60[/tex]
The proportion of the winning bid from a occasional bidders is [tex]P(O) = 0.30[/tex]
The proportion of the winning bid from a first- time bidders is [tex]P(F) = 0.10[/tex]
The proportion of satisfactory jobs done by a regular bidders is [tex]P(R|S) = 0.90[/tex]
The proportion of satisfactory jobs done by a occasional bidders is [tex]P(O|S) = 0.80[/tex]
The proportion of satisfactory jobs done by a first- time bidders is [tex]P(F|S) = 0.60[/tex]
Generally the probability that a job will be done by a first-time bidder and be satisfactory is mathematically represented as
[tex]P(F n S) = P(F) * P(S|F)[/tex]
=> [tex]P(F n S) = 0.10 * 0.60[/tex]
=> [tex]P(F n S) = 0.060[/tex]
Generally the probability that a job will be satisfactory is mathematically represented as
[tex]P(S) = 0.60 * 0.90 + 0.30 *0.80+ 0.10*0.60[/tex]
=> [tex]P(S) = 0.84 [/tex]
Generally given that a job is satisfactory, what is the probability that it was done by a regular bidder is mathematically evaluated as
[tex]P( S | R) = \frac{0.90* 0.60}{0.60}[/tex]
[tex]P( S | R) = 0.6429[/tex]
