Two individuals, A and B, both require kidney transplants. If she does not re- ceive a new kidney, then A will die after an exponential time with rate u A, and B after an exponential time with rate uB. New kidneys arrive in accordance with a Poisson process having rate .. It has been decided that the first kidney will go to A (or to B if B is alive and A is not at that time) and the next one to B (if still living). What is the probability that A obtains a new kidney? (b) What is the probability that B obtains a new kidney? (c) What is the probability that neither A nor B obtains a new kidney? (d) What is the probability that both A and B obtain new kidneys? (а)
Two individuals, A and B, both require kidney transplants. If she does not re- ceive a new kidney, then A will die after an exponential time with rate u A, and B after an exponential time with rate uB. New kidneys arrive in accordance with a Poisson process having rate .. It has been decided that the first kidney will go to A (or to B if B is alive and A is not at that time) and the next one to B (if still living). What is the probability that A obtains a new kidney? (b) What is the probability that B obtains a new kidney? (c) What is the probability that neither A nor B obtains a new kidney? (d) What is the probability that both A and B obtain new kidneys? (а)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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