Answer:
-13
Step-by-step explanation:
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:
8:3
Step-by-step explanation:
Divide each by 12 :)
Since, the function F(x) represents the monthly earnings of sales executive, which consists of a base salary and a commission earned on each scale, where 'x' is the number of sales.
So, the function F(x) can be expressed as:
F(x)= base salary+ commission earned on each sale (x) where 'x' represents the number of sales done.
So, F(0)= base salary + 0 ( As x=0 implies there was no sale)
And the executive earned only his base salary and no commission as he did not make any sale, and the commission was dependent upon the number of sales (x).
Hence, F(0) represents the base salary.
So, Option J is the correct answer.
