SOLUTION: Over a period of three months during one​ year, an​ airline's rate of involuntarily denying boarding was 0.85 per​ 10,000 passengers. What is the probability that in the

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Question 1190726: Over a period of three months during one​ year, an​ airline's rate of involuntarily denying boarding was 0.85 per​ 10,000 passengers.
What is the probability that in the next​ 10,000 passengers, there will be no one involuntarily denied​ boarding?

Answer by ikleyn(52872) About Me  (Show Source):
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Over a period of three months during one​ year, an​ airline's rate of involuntarily
denying boarding was 0.85 per​ 10,000 passengers.
What is the probability that in the next​ 10,000 passengers,
there will be no one involuntarily denied​ boarding?
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            Assume that the rate remains the same in the next  10,000  passengers.


The probability that a passenger will involuntary denyed boarding is  P = 0.85%2F10000 = 0.000085.


The probability that a passenger will not involuntary denyed boarding is the complement

      P' = 1 - 0.000085 = 0.999915.


The probability that in the next​ 10,000 passengers, there will be no one involuntarily denied​ boarding is

      0.999915%5E10000 = 0.427399491,  or   0.4274 = 42.74%  (rounded).      ANSWER

Solved.