If you're going 804 miles in 16 hours, you're going to want to do 804 / 16, which is 50.25, so you're going either 50.25 mph or 50 1/4 mph depending on the format you choose.
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%
You need to provide a picture because I cannot see the problem.
Strategy A, drawing a diagram is the best strategy to solve this problem
