I’m getting really stuck on these questions, help?

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Ответ:

user1234573

11.06.2022

Mathematics

The correct option is A

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 P(R) = 0.60

The proportion of the winning bid from a occasional bidders is P(O) = 0.30

The proportion of the winning bid from a first- time bidders is P(F) = 0.10

The proportion of satisfactory jobs done by a regular bidders is P(R|S) = 0.90

The proportion of satisfactory jobs done by a occasional bidders is P(O|S) = 0.80

The proportion of satisfactory jobs done by a first- time bidders is P(F|S) = 0.60

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

P(F n S) = P(F) * P(S|F)

=> P(F n S) = 0.10 * 0.60

=> P(F n S) = 0.060

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

P(S) = 0.60 * 0.90 + 0.30 *0.80+ 0.10*0.60

=> P(S) = 0.84

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

$P( S | R) = \frac{0.90* 0.60}{0.60}$

P( S | R) = 0.6429

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