At Fontaine Lake Camp on Lake Athabasca in northern Canada, history shows that about 30% of the

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At Fontaine Lake Camp on Lake Athabasca in northern Canada, history shows that about 30% of the guests catch lake trout over 20 pounds on a 4-day fi­shing trip (Source: Athabasca Fishing Lodges, Saskatoon, Canada). Let n be a random variable that represents the ­first trip to Fontaine Lake Camp on which a guest catches a lake trout over 20 pounds.

(a) Write out a formula for the probability distribution of the random variable n.

(b) Find the probability that a guest catches a lake trout weighing at least 20 pounds for the ­first time on trip number 3.

(c) Find the probability that it takes more than three trips for a guest to catch a lake trout weighing at least 20 pounds.

(d) What is the expected number of fi­shing trips that must be taken to catch the fi­rst lake trout over 20 pounds?

Distribution
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Understandable Statistics Concepts And Methods

ISBN: 9781337119917

12th Edition

Authors: Charles Henry Brase, Corrinne Pellillo Brase

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