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avanturin [10]
3 years ago
6

I'm being timed on this!!!!!!!! GIVING BRAINLIEST!!!!!!!!!!!!!!

Mathematics
2 answers:
Iteru [2.4K]3 years ago
6 0

I believe it is D

My reason is cause I had this problem and I got it correct.


GuDViN [60]3 years ago
5 0
I believe it is D also and my reason is cause i have the same problem and i got the answer D<span />
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Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The probability that an item pro
OleMash [197]

Answer:

P(A∣D) = 0.667

Step-by-step explanation:

We are given;

P(A) = 3P(B)

P(D|A) = 0.03

P(D|B) = 0.045

Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.

Using Bayes' Rule and Law of Total Probability, we will get;

P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]

Plugging in the relevant values, we have;

P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]

P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]

P(B) will cancel out to give;

P(A∣D) = 0.09/0.135

P(A∣D) = 0.667

7 0
3 years ago
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