g Disco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the prese
nce of polyester is 99% effective in detecting the presence of this disease. The test also yields a false-positive in 4% of the cases where the disease is not present. What is the probability that the test result is positive
The probability that the result is positive is P=0.04475=4.475%.
Step-by-step explanation:
We have the events:
D: disease present
ND: disease not present
P: test positive
F: test false
Then, the information we have is:
P(D)=0.005
P(P | D)=0.99
P(P | ND)=0.04
The total amount of positive test are the sum of the positive when the disease is present and the false positives (positive tests when the disease is not present).
The probability that the result is positive is P=0.04475.
At this point in time, you can use a technique called cross-mutiplication, where you say that , and at this point in time, you can devide each side by 8 and solve
Hi there The formula is A=p (1+r/k)^kt A future value 3000 P present value 100 R interest rate 0.02 K compounded monthly 12 T time? We need to solve for t T=[log (A/p)÷log (1+r/k)]÷k T=(log(3,000÷100)÷log(1+0.02÷12))÷12 T=170.202 years