11. An airline estimates that the probability that a random call to their reservation phone line result in a reservation being made is 0.13. This can be expressed as P(call results in reservation) = 0.13. Assume each call is independent of other calls. (a) Describe what the Law of Large Numbers says in the context of this probability. (b) What is the probability that none of the next four calls results in a reservation? (c) You want to estimate the probability that exactly one of the next four calls result in a reservation being made. Describe the design of a simulation to estimate this probability. Explain clearly how you will use the partial table of random digits below to carry out your simulation. (d) Carry out 5 trials of your simulation. Mark on or above each line of the table so that someone can clearly follow your method. 32006 81221 00693 95197 75044 46596 11628 76302 88296 95670 74932 65317 93848 43988 47597 83044 79485 92200 99401 54473 34336 82786 05457 60343 40830 24979 23333 37619 56227 95941 59494 86539 87370 88099 89695 87633 76987 85503 26257 51736
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In this context, it means that if the airline receives a large number of calls, the proportion of calls that result in a reservation will approach 0.13. Show moreā¦
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