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

Question:

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
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...