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
A and c are true ! I hope this helps
Answer:
A) -7
Step-by-step explanation:
2x + 5y + 30 = 0
Let x = 5/2
Substitute into the equation
2(5/2) +5y +30 =0
5+5y+30=0
Combine like terms
35 +5y =0
Subtract 35 from each side
35-35 +5y = -35
5y=-35
Divide by 5
5y/5=-35/5
y = -7
Answer:
(C) 4
Step-by-step explanation:
I am going to solve this by trial and error:
(A) 1
Is: 
?
So 1 is not the digit of N.
(B) 2
Is: 
?
So 2 is not the digit of N.
(C) 4
Is: 
?
Correct, so the answer is c.
(D) 5
(E) 6
Answer:
Step-by-step explanation:
The sum of the exterior angles of any polygon is 360 degrees. So first we need to find the measure of the exterior angle to x.
360 - 144 - 72 = 144
144 and x are supplementary, so they add up to 180. That means that
144 + x = 180 so
x = 36
Choice C is the one you want.
