Audrey and Diana go fishing at the Lyndon Fishing Pond. Upon arrival the owner informs...

70.2K

Verified Solution

Question

Statistics

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)

Answer & Explanation Solved by verified expert
4.4 Ratings (938 Votes)
c probability that Audrey catches 15 fish and Diana catches 15 fish Paudrey catches 15 of 100 fishesPdiana catches 15 of 85 remaining fishes 100C15Paudrey151Paudrey10015 85C15Pdiana151Pdiana8515 253338471017Paudrey151Paudrey10015 179844951016    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students