# Question: Refer to the U S Army Corps of Engineers study on

Refer to the U.S. Army Corps of Engineers’ study on the DDT contamination of fish in the Tennessee River (in Alabama), presented in Example. Part of the investigation focused on how far upstream the contaminated fish have migrated. (A fish is considered to be contaminated if its measured DDT concentration is greater than 5.0 parts per million.)

a. Considering only the contaminated fish captured from the Tennessee River, the data reveal that 52% of the fish are found between 275 and 300 miles upstream, 39% are found from 305 to 325 miles upstream, and 9% are found from 330 to 350 miles upstream. Use these percentages to determine the probabilities P(275 - 300),P(305 - 325), and P(330 - 350).

b. Given that a contaminated fish is found a certain distance upstream, the probability that it is a channel catfish (CC) is determined from the data as P(CC | 275 – 300) = .775, P(CC|305 – 325) = .77, and P(CC|330 – 350) = .86. If a contaminated channel catfish is captured from the Tennessee River, what is the probability that it was captured 275 – 300 miles upstream?

a. Considering only the contaminated fish captured from the Tennessee River, the data reveal that 52% of the fish are found between 275 and 300 miles upstream, 39% are found from 305 to 325 miles upstream, and 9% are found from 330 to 350 miles upstream. Use these percentages to determine the probabilities P(275 - 300),P(305 - 325), and P(330 - 350).

b. Given that a contaminated fish is found a certain distance upstream, the probability that it is a channel catfish (CC) is determined from the data as P(CC | 275 – 300) = .775, P(CC|305 – 325) = .77, and P(CC|330 – 350) = .86. If a contaminated channel catfish is captured from the Tennessee River, what is the probability that it was captured 275 – 300 miles upstream?

**View Solution:**## Answer to relevant Questions

Bayes’s rule was applied to the problem of HIV testing in The American Statistician (Aug. 2008). In North America, the probability of a person having HIV is .008. A test for HIV yields either a positive or negative result. ...The accompanying Venn diagram illustrates a sample space containing six sample points and three events, A, B, and C. The probabilities of the sample points are P(1) = .3, P(2) = .2, P(3) = .1, P(4) = .1, P(5) = .1, and P(6) ...An entomologist is studying the effect of a chemical sex attractant (pheromone) on insects. Several insects are released at a site equidistant from the pheromone under study and a control substance. If the pheromone has an ...Blackjack, a favorite game of gamblers, is played by a dealer and at least one opponent. At the outset of the game, 2 cards of a 52-card bridge deck are dealt to the player and 2 cards to the dealer. Drawing an ace and a ...A nursery advertises that it has 10 elm trees for sale. Unknown to the nursery, 3 of the trees have already been infected with Dutch elm disease and will die within a year. a. If a buyer purchases two trees, what is the ...Post your question