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

@TuringTest

Answer 2

Let A=the levels are exceeded
Let B=the test is accurate

what we then want is P(A and B)

Answer 3

in this case, we should probably consider whether or not these events are independent, as that can simplify our calculations greatly

Answer 4

ok sweet

Answer 5

you there? did the site go down on you as well?

Answer 6

yeah, I'm back now though

Answer 7

Oh wow I have both of the qualified helpers ;)

Answer 8

Haha indeed. I didn't even know I was one until I logged in a moment ago.

Answer 9

Seriously???? That is crazy

Answer 10

I think I am a recruit

Answer 11

Well I had applied, but I guess it took a while for them to process.
Yeah but you will move up.

Answer 12

Yay. Okay now with this question.. What are we doing?

Answer 13

again we can make a treewhich event do we want?

Answer 14

a and b

Answer 15

.85*.35?

Answer 16

yep

Answer 17

ok, .2975 is that

Answer 18

that the answer...??

Answer 19

seems that way, unless I have misinterpreted the problem

Answer 20

that was so much faster than I expected...

Answer 21

well if you know what to do it is easy lol

Answer 22

I made an 85 :)

Answer 23

nice, is that your grade?

Answer 24

No, in geometry total right now if I factor that test grade in there I think I have a 94 or 93.

Answer 25

All I have to take now is the semester test, I will calculate my grade now.

Answer 26

94.88

Answer 27

gotta go to lunch see ya!

Answer 28

Ah ok, well please don't be taking tests here. That is against the rules.
Alright, see ya!