SOLUTION: On the colorimetric analysis to detect the presence of nitrates in the water of the lakes, we know that if a sample contains nitrate When pouring a certain solution into the wate

Algebra.Com
Question 1134892: On the colorimetric analysis to detect the presence of nitrates
in the water of the lakes, we know that if a sample contains nitrate
When pouring a certain solution into the water, it turns red on
95% of the time When you pour that solution into samples of
water that does not contain nitrates, the water turns red 10% of the
times (as a consequence of the presence of other chemicals that are
present and also react with the agent). Past experience
in a laboratory indicates that 30% of the water samples that are sent
to analyze contain nitrates.
a) If a sample of water samples sent to the laboratory is chosen, a
randomly, what is the probability that it will turn red
when analyzed?
b) If a water sample is chosen randomly and turns red
when analyzing, what is the probability that actually
contain nitrates?

Answer by Glaviolette(140)   (Show Source): You can put this solution on YOUR website!
I set up a tree diagram and then calculated the probabilities.

RELATED QUESTIONS

To reduce laboratory​ costs, water samples from four public swimming pools are combined (answered by Boreal)
The water in Midwestern lake contains sediment, and the presence of the sediment reduces... (answered by josgarithmetic)
the orange county department of public health tests water for contamination due to the... (answered by stanbon)
A new medical test has been designed to detect the presence of the mysterious... (answered by Boreal)
A new medical test has been designed to detect the presence of the mysterious... (answered by Boreal)
Acid rain from the burning of fossil fuels has caused many of the lakes around the world... (answered by Theo)
A medical test has been designed to detect the presence of a certain disease. Among those (answered by CPhill)
A method currently used by doctors to screen women for breast cancer fails to detect... (answered by stanbon)
1.Four students who commute together claim that they missed an exam due to a flat tire on (answered by stanbon)