Assume that an environmentally transmitted disease is introduced to a community. The proportions of healthy and infected individuals change each day according to the formulas: Hn+1 = (1 – p) Hn + r In In+1 = pHn + (1 – r) In If p =21% and r =7%, what is the probability that an individual that is health on day n = 0 is healthy on day n 3? Express your answer as a decimal to the nearest thousandth.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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8.

Assume that an environmentally transmitted disease is introduced to a community. The proportions
of healthy and infected individuals change each day according to the formulas:
Нр+1 — (1 — р) Н, +r I,
In+1 3D pH, + (1 — г) I,
If p =21% andr =7%, what is the probability that an individual that is health on day n =
0 is
healthy on day n =
3? Express your answer as a decimal to the nearest thousandth.
Transcribed Image Text:Assume that an environmentally transmitted disease is introduced to a community. The proportions of healthy and infected individuals change each day according to the formulas: Нр+1 — (1 — р) Н, +r I, In+1 3D pH, + (1 — г) I, If p =21% andr =7%, what is the probability that an individual that is health on day n = 0 is healthy on day n = 3? Express your answer as a decimal to the nearest thousandth.
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