Question

A rogue wave is a unusual, unpredictable, large wave that dwarfs those around it. The impact of such a wave can threaten ocean-going vessels, and is thus of interest to various weather forecasting agencies. In the south Atlantic, the average for this rare event is estimated by the European Center for Medium-Range Weather Forecasts to be 0.0377 rogue waves per hour.

What is the probability (correct to 4 decimal places) that a ship will not encounter a rogue wave in a week long south Atlantic voyage?

Show work please.

Answer 1