StatORJune07 - medication until the remission of illness...

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Part B Probability Questions for Common Qualifying Examination, Spring 2007 1. A fair coin is independently flipped n times, k times by Mary and n-k times by Bill. Find the probability that Mary and Bill flip the same number of heads. 2. Let X be a random variable that takes on values between 0 and c . That is, 1 } 0 { = ± ± c X P . Show that 4 ) var( 2 c X ± . 3. If the density of X equals Ce -2x , if x>0, and 0 , if x<0. Find P{X>2}. 4. The random variable X is the length of time from the start of a course of
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Unformatted text preview: medication until the remission of illness symptoms recorded in weeks. There are two types of patients: fast responders (who are 90% of patients) and slow responders. Given that a patient is a fast responder, the distribution of X is exponential with mean 2 weeks. Given that a patient is a slow responder, the distribution of X is exponential with mean 50 weeks. Find the (unconditional) mean and variance of X ....
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This note was uploaded on 01/31/2011 for the course AMS 507 taught by Professor Feinberg,e during the Fall '08 term at SUNY Stony Brook.

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