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In: Statistics and Probability

____( solve_R__RStudio ) You’ve been hired as a consultant for a new planned NYC “quadrathalon”, in...

____( solve_R__RStudio )

You’ve been hired as a consultant for a new planned NYC “quadrathalon”, in which participants run from Hunter’s Point South Park in Queens to Socrates Sculpture garden, take a kayak from there to Roosevelt Island, swim from there to John Jay park on Manhattan, cycle across to the Boat Basin, then swim down to a concluding party at Riverside pier 1. The organizers are worried about pollution while swimming in the two rivers. Studies have show the East River has unacceptable pollution levels a percentage of time given by p_E in the data sheet, while the Hudson river has unacceptable levels p_H of the time. Assuming these probabilities are independent answer the following:

p_E = 52   p_H = 22   p_HE = 37

-What is the probability of having only one river contaminated? (they can move the kayak section from one river to the other).

-What is the probability of having neither river contaminated?

You have received new information: if the East River is contaminated, the chances of the Hudson river also being contaminated goes up to p_HE (Manhattan pollutes both).   Redo the questions above using this new information.

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