One interesting phenomenon of bacteriuria is that there is a

One interesting phenomenon of bacteriuria is that there is a “turnover”; that is, if bacteriuria is measured on the same woman at two different points in time, the results are not necessarily the same. Assume that 15% of all women who are bacteriuric at time 0 are again bacteriuric at time 1 (1 year later), whereas only 4.5% of women who were not bacteriuric at time 0 are bacteriuric at time 1. Let X be the random variable representing the number of bacteriuric events over the two time periods for 1 woman and still assume that the probability that a woman will be positive for bacteriuria at any one exam is 10%. a.What is the probability distribution of X? b What is the mean of X? c.What is the variance of X?

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