Question
In: Statistics and Probability
A fishing lake camp boasts that about 30% of the guests catch lake trout over 20...
A fishing lake camp boasts that about 30% of the guests catch lake trout over 20 pounds on a 4-day fishing trip. Let n be a random variable that represents the first trip to the 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.
P(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.
(Round your answer to three decimal places.)
(c) Find the probability that it takes more than three trips for a
guest to catch a lake trout weighing at least 20 pounds. (Round
your answer to three decimal places.)
(d) What is the expected number of fishing trips that must be taken
to catch the first lake trout over 20 pounds? Hint: Use
μ for the geometric distribution and round. (Round your
answer to two decimal places.)
( ) trips
Solutions
orchestra answered 1 year agoRelated Solutions
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