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anonymous
 one year ago
The Breaker's Manufacturing Company makes 80% of a particular sensor, the Cartin Company makes 15% of them, and the Flutes Company makes the other 5%. The sensors made by Breaker's have a 4% defect rate, the Cartin sensors have a 6% defect rate, and the Flutes sensors have a 9% defect rate. If a sensor is randomly selected from the general population of all sensors, what is the probability that it is defective, given that it was made by Cartin Company?
0.04
0.05
0.06
0.15
anonymous
 one year ago
The Breaker's Manufacturing Company makes 80% of a particular sensor, the Cartin Company makes 15% of them, and the Flutes Company makes the other 5%. The sensors made by Breaker's have a 4% defect rate, the Cartin sensors have a 6% defect rate, and the Flutes sensors have a 9% defect rate. If a sensor is randomly selected from the general population of all sensors, what is the probability that it is defective, given that it was made by Cartin Company? 0.04 0.05 0.06 0.15

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misssunshinexxoxo
 one year ago
Best ResponseYou've already chosen the best response.1Which do you believe it is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i honestly dont know

misssunshinexxoxo
 one year ago
Best ResponseYou've already chosen the best response.1" 80% of a particular sensor, the Cartin Company makes 15% of them, and the Flutes Company makes the other 5%. The sensors made by Breaker's have a 4% defect rate, the Cartin sensors have a 6% defect rate, and the Flutes sensors have a 9% defect rate"

misssunshinexxoxo
 one year ago
Best ResponseYou've already chosen the best response.1Let's break this down

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You need to name your events.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(A\): it has a defect \(B\): it comes from Breaker \(C\): it comes from Cartin \(F\): it comes from Flutes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0"The sensors made by Breaker's have a 4% defect rate" This is saying "It it comes from Breaker, then the probability it has a defect is 4%", which means\[ \Pr(AB) = 0.04 \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0"The Breaker's Manufacturing Company makes 80% of a particular sensor" This is saying "The probability a it comes from Breaker is 80%"\[ \Pr(B) = 0.80 \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0We want to use the conditional probability here, which states:\[ \Pr(AB) = \frac{\Pr(A\cap B)}{\Pr(B)} \implies \Pr(A\cap B) = \Pr(AB)\times \Pr(B) \]Then we can use total probability:\[ \Pr(A) = \Pr(A\cap B) + \Pr(A\cap C) + \Pr(A \cap F) \]This words because \(B\cup C\cup F\) will make up the entire sample space.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont know how to use that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Did they teach you anything about probability? I'm using standard notation.

misty1212
 one year ago
Best ResponseYou've already chosen the best response.2this question is not that hard in fact, it is like "who is buried in grant's tomb" " the Cartin sensors have a 6% defect rate," "what is the probability that it is defective, given that it was made by Cartin Company?"

misty1212
 one year ago
Best ResponseYou've already chosen the best response.2they tell you what it is, it is 6%

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it was right! thank you!
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