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 z≥1 f(x) = 0 z<1 where c is a constant. The term PM₁o refers to particles 10 μm or less in diameter. What proportion of the contaminating particles are PMo? (Round the final answer to two decimal places.) The term PM2.5 refers to particles 2.5 um or less in diameter. What proportion of the contaminating particles are PM2.5? (Round the final answer to two decimal places.) What proportion of the PM10 particles are PM2.5? (Round the final answer to three decimal places.)

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