Q2(viii.) Suppose each car pays a flat fee of $5 when it enters. What is the expected amount of money the parking lot receives during an 8-hour day? Q2(ix.) Now assume that the amount of fee each car pays is a random variable, i.e. the fee is $3 or $5 or $6 with probabilities 1/4, 1/2, and 1/4 respectively. What is the expected amount of money the lot receives during an 8-hour day?

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Q2 Cars arrive at a parking lot at a rate of 20 per hour. Assume that a Poisson process model is
appropriate. Answer the following questions. No derivations are needed but a justification of your
answers is necessary.
Q2(viii.) Suppose each car pays a flat fee of $5 when it enters. What is the expected amount of
money the parking lot receives during an 8-hour day?
Q2 (ix.) Now assume that the amount of fee each car pays is a random variable, i.e. the fee is $3
or $5 or $6 with probabilities 1/4, 1/2, and 1/4 respectively. What is the expected amount of
money the lot receives during an 8-hour day?
Transcribed Image Text:Q2 Cars arrive at a parking lot at a rate of 20 per hour. Assume that a Poisson process model is appropriate. Answer the following questions. No derivations are needed but a justification of your answers is necessary. Q2(viii.) Suppose each car pays a flat fee of $5 when it enters. What is the expected amount of money the parking lot receives during an 8-hour day? Q2 (ix.) Now assume that the amount of fee each car pays is a random variable, i.e. the fee is $3 or $5 or $6 with probabilities 1/4, 1/2, and 1/4 respectively. What is the expected amount of money the lot receives during an 8-hour day?
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