# 20. An individual whose level of exposure to a certain pathogen is x will contract the disease...

## Question:

20. An individual whose level of exposure to a certain pathogen is x will contract the disease caused by this pathogen with probability P(x). If the exposure level of a randomly chosen member of the population has probability density function f , determine the conditional probability density of the exposure level of that member given that he or she

**(a)** has the disease.

**(b)** does not have the disease.

**(c)** Show that when P(x) increases in x, then the ratio of the density of part (a)

to that of part

**(b)** also increases in x.

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