Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.81. This can be expressed as P(call is for medical assistance) = 0.81. 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 are for medical assistance? (c) You want to estimate the probability that exactly three of the next four calls are for medical assistance. Describe the design of a simulation to estimate this probability. Explain clearly how you wi

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Many fire stations handle emergency calls for medical assistance as well as those requesting

firefighting equipment. A particular station says that the probability that an incoming call is

for medical assistance is 0.81. This can be expressed as P(call is for medical assistance) =

0.81. 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 are for medical assistance?

(c) You want to estimate the probability that exactly three of the next four calls are for

medical assistance. 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.

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