Question: A tidal wave or tsunami is usually the result of an earthquake in the Pacific Rim, often 1000 or more miles from Hawaii. Tsunamis are

A tidal wave or tsunami is usually the result of an earthquake in the Pacific Rim, often 1000 or more miles from Hawaii. Tsunamis are rare but dangerous. Many tsunamis are small and do little damage. However, a tsunami 9 meters or higher is very dangerous. Civil Defense authorities sound an alarm telling people near the beach to go to higher ground. About 30% of all recorded tsunamis have been 9 meters or higher (Reference Hawaii Data Book, Robert C. Schmitt). You are writing a report about 8 recent earthquakes in the Pacific Rim and you want to include a brief statistical profile of some possible events regarding tsunamis in Hawaii. Let r be the number of tsunamis 9 meters or higher resulting from 8 randomly chosen earthquakes in the Pacific Rim.

(a) Make a histogram of the probability distribution of r.

(b) What is the probability none of the tsunamis are 9 meters or higher?

(d) What is the expected number of tsunamis 9 meters or higher?

(e) What is the standard deviation of the r-probability distribution?

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