# Solid missile fuel and particle size distribution

An important factor in solid missile fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production done in the past, it has been determined that the particle size in microns distribution is characterized by:

f(x) = 3x^-4 x>1

0 elsewhere

a) Verify that this is a valid distribution function

b) What is the probability that a random particle from the mfg fuel exceeds 4 microns?

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#### Solution Summary

This solution shows how to verify that an expression is a valid distribution function and how to calculate a given probability.

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