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:
I think the answer is
no
no?
yes
yes
yes
no
Step-by-step explanation:
I'm not really sure if this is correct but from my textbook it says that the answer cannot have a math problem in it (E.g x = 1 + 2.3).
I am sorry if this is incorrect
If it is correct, can I have brainliest please?
The sum of
7.8 and 7.02 would be
14.82
because
7.8
+7.02
------------
14.82
hope this helps :)
The logarithm of 10 to base 10 is 1
<h3>How to determine the logarithm?</h3>
The given parameters are:
Base = 10
Number = 10
So, the expression is:
As a general rule;
The above means that;
When the base and the number are the same, the logarithm is 1
So, we have:
Hence, the logarithmic value is 1
Read more about logarithm at:
brainly.com/question/20785664
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