Is f(x)=x^3 an odd function
2 answers:
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Answer:
0.545 = 54.5% probability that it came from machine A
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Defective.
Event B: Coming from machine A.
Machine A is responsible for 30%
This means that
10% of the output from machine A is defective
This means that
Probability of being defective:
Machine A is responsible for 30%. Of those, 10% are defective.
Machine B is responsible for 20%. Of those, 5% are defective.
Machine C is responsible for 100 - (30+20) = 50%. Of those, 3% are defective. Then
Finally:
0.545 = 54.5% probability that it came from machine A
Let the amount of shells collected by Aaron be 
and the amount of shells collected by Maria be 
respectively. Then the following system of equations should be solved:
First of all, express out of first equation:
Then, replace in second equation with found expression and solve it:
Finally, replace in first equation with found value and solve it too:
So, Aaron has found 7 shells while Maria has found 21.
First of all, express
Then, replace
Finally, replace
So, Aaron has found 7 shells while Maria has found 21.