SOLUTION: a human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is .95. If we take a random sample of 3 employees, wh

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Question 1136741: a human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is .95. If we take a random sample of 3 employees, what's the probability that at least one of them arrive on time ?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
What is the probability that none arrives on time?
It is .05^3=0.000125
everything else is at least 1 or 0.0.999875
prob of all 3 is .95^3=0.857
of 2 is 3 (ways it can happen)*.95*.05=0.135
of 1 is 3*0.95*0.05^2=0.007