Question

2.33 A small river is found to be polluted due to the chemical waste from two major industries, A and B. Due to the strict standards enforced by the EPA, the probability of controlling the pollutions from A and B are 0.7 and 0.85, respectively, in the next two years. It is estimated that, if only one of the industries complies with the strict standards of EPA, there is a 75 percent probability of controlling the pollution in the river to an acceptable level. (a) Find the probability of controlling the pollution in the river in the next two years. (b) If the pol- lution in the river is not controlled in the next two years, what is the probability that it is caused entirely by the industry A?

          2.33
A small river is found to be polluted due to the chemical waste from two major industries,
A and B. Due to the strict standards enforced by the EPA, the probability of controlling the
pollutions from A and B are 0.7 and 0.85, respectively, in the next two years. It is estimated
that, if only one of the industries complies with the strict standards of EPA, there is a 75
percent probability of controlling the pollution in the river to an acceptable level.
(a) Find
the probability of controlling the pollution in the river in the next two years. (b) If the pol-
lution in the river is not controlled in the next two years, what is the probability that it is
caused entirely by the industry A?

2.33
A small river is found to be polluted due to the chemical waste from two major industries,
A and B. Due to the strict standards enforced by the EPA, the probability of controlling the
pollutions from A and B are 0.7 and 0.85, respectively, in the next two years. It is estimated
that, if only one of the industries complies with the strict standards of EPA, there is a 75
percent probability of controlling the pollution in the river to an acceptable level.
(a) Find
the probability of controlling the pollution in the river in the next two years. (b) If the pol-
lution in the river is not controlled in the next two years, what is the probability that it is
caused entirely by the industry A?

Added by Colin P.

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