The board of directors of a company knows that the probability that the carbon emission from the company’s manufacturing unit is
exceeding the permissible level is 35%. A consultant is hired to use a carbon footprint calculator to test for the emission level. The accuracy of this test is said to be 85%. What is the probability that the manufacturing unit has carbon emission beyond the permissible emission level and the test predicts this?
0.2975
The probability of that the carbon emission is exceeding permissible level in a company is given as 35% and in decimal is 0.35. The calculator test has an accuracy of 85% or 0.85. This can be solved using the probability of two independent events occurring. Let event A be the carbon emission exceeding permissible level and event B be the accuracy of the test. P (A and B) = P(A)xP(B) = 0.35x0.85 = 0.2975
