Question

Let X be the distance in miles a person walks on a desert hike until she...

Let X be the distance in miles a person walks on a desert hike until she has to take a drink of water. A theoretical study has led to a moment generating function for X of mX(s) = (1 – .5s)–3.

Find the average value E(X) of miles she walks until she has to take a drink of water.

Find the standard deviation of miles she walks until she has to take a drink of water.

What is the probability she will walk no more than 2.0 miles until she has to take a drink of water? (Hint: discover what family X belongs to.)

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