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%
X is equal to 1.5. In order to get this you divide each side by 1.2
Answer:
1cm
Step-by-step explanation:
from the scale we know that
1cm on the map is equal to 300cms on the ground
Below I have made a table and used the unitary method.
Distance on Map Distance on ground
1cm 300cm
let width be = x width = 3m = 300cm
hence
width = ( 1 ×300)/ 300 = 1cm
Hope this helps
<span>Isaiah puts a 10 gram weight on a pan balance. To balance the scale, he needs to put 10 pieces of 1 gram weights which will be equivalent to 10 grams of weight. Hope this answers the question. Have a nice day.</span>
For an equal number of servings, the bananas will have three times as much sugar.
To put it in perspective:
When we have one serving of each fruit, the carrot will give you 5 grams of sugar whereas banana will give you 15 grams.
Hope this helps!