Audrey and Diana go fishing at the Lyndon FishingPond. Upon arrival the owner informs them that the pond is stockedwith an infinite number of independent fish, and that a typicalfisher catches fish at a Poisson rate of 2 fish per hour. There are8 other people fishing there that day. Diana has the same skilllevel as a typical fisher but Audrey catches on average twice asmany fish as a typical fisher.
For the rest of the question, assume that 100 fish were caughtthat day.
Use those rounded probabilities in parts b), c) and d):
i. The probability a fish was caught by Audrey is 0.182
ii. The probability a fish was caught by Diana is 0.091
iii. The probability a fish was caught by someone else is 0.727
(c) (2) Find the probability that Audrey catches 15 fish andDiana catches 15 fish
(d) (2) Find the probability that Audrey and Diana catch 30 fishtogether
(e) (2) Given that Audrey catches 15 fish, find the probabilitythat Diana catches 15 fish
(f) (2) Explain logically the difference between theprobabilities in (c), (d), and (e)
