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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

Respuesta :

metchelle
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

The probability that the manufacturing unit has carbon emission beyond the permissible emission level is 0.2975.

What is the probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

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%.

To find

The probability that the manufacturing unit has carbon emission beyond the permissible emission level.

How to find the probability that the manufacturing unit has carbon emission beyond the permissible emission level?

We know the formula

P(A and B) = P(A) x P(B)

We know

P(A) = 35% = 0.35

P(B) = 85% = 0.85

Then

P(A and B) = 0.35 x 0.85

P(A and B) = 0.2975

Thus, The probability that the manufacturing unit has carbon emission beyond the permissible emission level is 0.2975.

More about the probability link is given below.

https://brainly.com/question/795909