Concept explainers
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
where c is a constant.
- a. Find the value of c so that f(x) is a probability density function.
- b. Find the mean particle diameter.
- c. Find the cumulative distribution function of the particle diameter.
- d. Find the median particle diameter.
- e. The term PM10 refers to particles 10 μm or less in diameter. What proportion of the contaminating particles are PM10?
- f. The term PM2.5 refers to particles 2.5 μm or less in diameter. What proportion of the contaminating particles are PM2.5?
- g. What proportion of the PM10 particles are PM2.5?
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STATISTICS FOR ENGR.+SCI-W/ACCESS
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