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1 A biologist extracts particulate matter from a water sample and then measures the diameter of each particle. Let X be the diameter in microns

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1 A biologist extracts particulate matter from a water sample and then measures the diameter of each particle. Let X be the diameter in microns (um) of a measured particle. Suppose X has the cdf F(r) = 13 1536 128 + 96 45x 12 I > 12. (a) What is the probability that a measured particle has diameter of at least 10 microns? (b) Determine a suitable probability density function for X. (c) What is the mean and standard deviation of particle diameters

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