74746394738284729274638292
Answer:
a) 0.2416
b) 0.4172
c) 0.0253
Step-by-step explanation:
Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .
denoting event a A=the test proves correct and B=the river is polluted
a) the test indicates pollution when
- the river is polluted and the test is correct
- the river is not polluted and the test fails
then
P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416
b) according to Bayes
P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)
then
P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172
c) since
P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+ 0.16*0.12 = 0.7584
the rate of false positives is
P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253
Answer:
74t + 65= total cost
Step-by-step explanation:
74 is the amount per hour, so you would need to multiply that by the number of hours they work (74t) and the 65 is a set fee (does not change based on the amount of service) so you just add that on
Answer:
11/3
<em>Alternative Form: </em>3 2/3, 3.6
Step-by-step explanation:
44/12
Dive the numerator and denominator by 4
44/4 / 12/4
11/ 12/4
11/3
Answer:
The answer is 11,374
Step-by-step explanation:
First we find 5% of 9,400 is.
9,400 * 5% = 470
Next we add 9,400 with 470 then multiply by 20%
9,400 + 470 = 9,870
9,870 * 20% = 1974
Next we add.
9,870 + 1,974 = 11,374
So, the answer is 11,374
Hope this helps! :)
