Question

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

0.0525
0.0975
0.5525
0.6325

Answer 1

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

Answer 2

I find that:
P (A and B) = P(A)xP(B) = 0.35x0.850
Therefore .2975 or option A