Question

In July of 2017, as President Trump prepared to have dinner with French President Emmanuel Macron at Le Jules Verne, the restaurant on the second floor of the Eiffel Tower, a Boston Globe correspondent speculated that the two presidents might well dine on baked blue lobster "homard. bleu" with caviar. In North America, blue lobsters are rather rare and for this reason not eaten. According to the University of Maine Lobster Institute, the chances of catching a North American blue lobster are about one in two million. In 2016 approximately 30 million lobsters were landed in Hancock County, Maine. At current landing rates, a) What is the probability that Hancock County would go 2 months or more without landing a blue lobster? b) What is the probability that the wait in Hancock County for the next blue lobster will be less than 1 month?

Answer 1

Probability that Hancock country would go 2 months or more without landing a blue lobster is calculated by

=1- Probability that Hancock country would go 2 months or more with landing a blue lobster

In Hancock country one blue lobster in two millions lobster, totally 30 millions lobster are landed that means 15 blue lobster are landed in Hancock country

Total numbers(n)=15

Probability that Hancock country would go 2 months or more with landing a blue lobster=13÷15=0.8667 (since maybe 2 or less landed in one month)

So, probability that Hancock country would go 2 months or more without landing a blue lobster =1-.8667=0.1333(approximately)