Question

Assume that Victor does some reconnaissance and sees that there are 37 coconut trees. Victor knows that each year a coconut tree produces 50 coconuts on average with a standard deviation of 15 coconuts.

Assuming that Victor is a strict vegan and won't eat fish, he needs 2000 coconuts a year to survive, which seems reasonable as each coconut is about 350 kilocalories.

Part A: What's the probability that Victor will survive for 1 year?

Victor's initial calculations do not leave him feeling hopeful, so he begins to fantasize.

Part B: What's the smallest integer number of coconut trees that will give Victor at least 95% confidence of surviving 1 year?

Answer 1