A pharmaceutical firm has discovered a new diagnostic test for a ...

[cookcarl]

A pharmaceutical firm has discovered a new diagnostic test for a certain disease that has infected 1 of the population. The firm has announced that 95 of those infected will show a positive test result, while 98 of those not infected will show a negative test result.
 a. What proportion of people don't have the disease?
  b. What proportion who have the disease test negative?
  c. What proportion of those who don't have the disease test positive?
  d. What proportion of test results are incorrect?
  e. What proportion of test results are correct?

Question 2

Is it possible to have two events for which P(A) = 0.40, P(B) = 0.50, and P(A or B) = 0.30? Explain.

[wilsonbho]

Answer to Question 1

a. 0.99
b. 0.05
c. 0.02
d. 0.0203
e. 0.9797

Answer to Question 2

Yes. In this situation, if P(A and B) = 0.60 it works.

[cookcarl]

Thanks for the timely response, appreciate it

[DylanD1323]

Excellent