Question

there have been several accidents at your job and you have a feeling that 27% of...

there have been several accidents at your job and you have a feeling that 27% of these accidents occur due to employees fail to follow instruction. after looking at accident reports selected randomly until you find one that shows an accident caused by failure of employees following instruction

a) on average how many reports should you look at until you find a report showing an accident caused by an employees failure to follow instruction

b) what is the probability thst you will have to examine at least 4 reports until you find a report showing an accident caused by employee failure to follow instruction

Math   Statistics-And-Probability   
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Answer #1

P(accidents occur due to employees fail to follow instruction), p = 0.27

P(accidents occur not due to employees fail to follow instruction), q = 1 - 0.27 = 0.73

a) Average number of reports you look at until you find a report showing an accident caused by an employees failure to follow instruction = 1/p

= 1/0.27

= 3.7037

b) P(you will have to examine at least 4 reports until you find a report showing an accident caused by employee failure to follow instruction) = P(first 3 reports doesn't says that an accident was caused by employee failure to follow instruction)

= 0.733

= 0.3890

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