Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
There is a 0.5867 = 58.67% conditional probability that this avocado came from supplier Q.
What is Conditional Probability?
Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
- P(B|A) is the probability of event B happening, given that A happened.
- [tex]P(A \cap B)[/tex] is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are given as follows:
- Event A: Substandard avocado.
- Event B: The avocado comes from supplier B.
The percentages associted with a substandard avocado are given as follows:
- 8% of 30%(supplier P).
- 12% of 55%(supplier Q).
- 15% of 15%(supplier R).
Hence:
P(A) = 0.08 x 0.3 + 0.12 x 0.55 + 0.15 x 0.15 = 0.1125.
The probability of both being substandard and from supplier Q is given by:
[tex]P(A \cap B) = 0.12 \times 0.55 = 0.066[/tex]
Hence the conditional probability is given by:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.066}{0.1125} = 0.5867[/tex]
More can be learned about conditional probability at https://brainly.com/question/14398287
#SPJ1
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
