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Question:
(a) State the strong law of large numbers.
(b) Data have been collected on response times (in minutes) at a fire station. The data are
2:7 1:8 0:8 1:4 1:2
(i) Develop a preliminary simulation model which uses a response-time distribution based on the five observations given above.
(ii) Use graph paper to draw the empirical cumulative distribution function of the response times and generate a value for response time using the random number 0:45.
(c) Give an algorithm which uses the exponential density function
g(x) = e-x, 0 < x < ∞,
to generate the absolute value of a standard normal variable.
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