Lec13 Total Probability rule and Random Vars

Lec13 Total Probability rule and Random Vars - 1 Total...

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Total Probability rule and Random Variables 1
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Use the Total Probability Rule and random variables 2 An airport limo has 4 seats. Depending on demand, the number of reservations made has the following distribution: From previous records, 20% of passengers with reservations do not show up. Find the probability that the limo is full, i.e., at r 3 4 5 6 f(r) .1 .2 .3 .4
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More…solve by conditioning on R 3 Called conditioning on R
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More…limo 4 It costs $100 to send the limo to the airport, whether there is one customer or four of them. Each customer pays $40. A customer who is bumped is put in a taxi that costs the limo company $50. Find the expected profit. plan for solving find prob dist for X by conditioning on R up E(h(x)) X 0 1 2 3 4 5 6 f(x) Profi t 0 -60 -20
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Homework problem: Meeting Demand at the XYZ bakery 5 The XYZ Bakery puts 12 loaves in the oven each morning. The probability a loaf turns out well is 0.9. (not burnt, lopsided, etc.) The distribution of the daily demand is: Find the probability of meeting the demand each day d 10 11 12 f(d) .3 .5 .2
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Hints: Prob of Meeting Demand 6 r.v. D = daily demand r.v. G = number of good loaves (Binomial)
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This note was uploaded on 02/27/2012 for the course ISE 540:210 taught by Professor Susanalbin during the Spring '12 term at Rutgers.

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Lec13 Total Probability rule and Random Vars - 1 Total...

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