Redo problem 2b) from Tuesday using total probability theorem. Must get same ans

Question

Redo problem 2b) from Tuesday using total probability theorem. Must get same answer accurate to 4 digits (0.9418) Upload a PDF to T-Square by Thursday 9/28 9:30am Earn 10 bonus points on attendance grade. No help from TA's or Instructor 2. The following is the 10 yr record of floods in town A in which the occurrence of floods can be modeled as a poisson process 994-1 1999-0 1995 0 2000 - 2 1996 -12001 - 0 1997 -1' 2002 - 0 998-0 2003 -1 b) A sewage treatment plant is on high ground with a probability of being inundated during a flood of 0.02. What is the probability that the plant will not be inundated for a period of 5 years?

Explanation / Answer

probability of not being inundated =1-P( of getting inundated) =1-0.02=0.98

therfore probability that the plant will not be inundated for aperiod of 5 years =(0.98)*0.98*0.98*0.98*0.98=0.903921

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