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Please help me figure this out. Required information Particles are a major component of air pollution in many areas. It is of interest to study the sizes of contaminating particles. Let X represent the diameter, in micrometers, of a randomly chosen particle. Assume that in a certain area, the probability density function of X is inversely proportional to the volume of the particle; that is, assume that f(x)={x3c0x1x<1 where c is a constant. Find the mean particle diameter. Numeric Response.

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Please help me figure this out. Required information Particles are a major component of air pollution in many areas. It is of interest to study the sizes of contaminating particles. Let X represent the diameter, in micrometers, of a randomly chosen particle. Assume that in a certain area, the probability density function of X is inversely proportional to the volume of the particle; that is, assume that f(x)={x3c0x1x<1 where c is a constant. Find the mean particle diameter. Numeric Response

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  • 1. Please help me figure this out. Required information Particles are a major component of air pollution in many areas. It is of interest to study the sizes of contaminating particles. Let X represent the diameter, in micrometers, of a randomly chosen particle. Assume that in a certain area, the probability density function of X is inversely proportional to the volume of the particle; that is, assume that f(x)={x3c0x1x<1 where c is a constant. Find the mean particle diameter. Numeric Response