Answer:
the probability the car was actually blue as claimed by the witness is 33.33%. This is a low percentage and thus, there is a reasonable doubt about the guilt of the client.
Step-by-step explanation:
We are given;
P(car is blue) = 1% = 0.01
P(car is green) = 99% = 0.99
P(witness said blue | car is blue) = 99% = 0.99
P(witness said blue | car is green) = 2% = 0.02
We will solve this by using Bayes’ formula for inverting conditional probabilities:
Thus;
P(car is blue | witness said blue) =
[P(witness said blue | car is blue) × P(car is blue)] / [(P(witness said blue | car is blue) × P(car is blue)) + (P(witness said blue | car is green) × P(car is green))]
Plugging in the relevant values gives;
(0.99 × 0.01)/((0.99 × 0.01) + (0.02 × 0.99)) = 0.3333
Thus, the probability the car was actually blue as claimed by the witness is 0.3333 or 33.33%
The step after the given would be subtraction
Divide 34.65 by 100 take your answer times that by 23 that should be your answer
Answer:
I believe the slope of the line is 5
Step-by-step explanation:
5 + 5 = 10
10 + 5 + 15
15 + 5 = 20
Hope this helps :)
There should be a typo in the question: the correct formula would be

Let's compute
first. We have

If we intersect this set with X, we have

So, that would be the left hand side. For the right hand side, we have

And their union is again 