A student of EEE452 is assessing risk of pickpocket over 4 weeks (28 days) while commuting to NSU. Pocket money in his wallet randomly varies day to day. He observed that daily average pocket money is (i) 3000 Taka in first week, (ii) 1500 Taka in 2nd week (iii) 900 Taka in 3rd week and (iv) 500 Taka in the last week. To reduce the risk he chooses different commuting services with different probability of pickpocket: on 1st week, Pathao ride (p = 1/300), on 2nd week Laguna service (p=1/75), 3rd week local town service bus (p=1/60) and on the last week he takes his own bicycle (p=1/100). a) What is his risk on the first week? (TK) b) What is his risk on the 2nd week? (TK) c) What is his risk on the last week of the month?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A student of EEE452 is assessing risk of pickpocket over 4 weeks (28 days) while commuting to NSU.
Pocket money in his wallet randomly varies day to day. He observed that daily average pocket
money is (i) 3000 Taka in first week, (ii) 1500 Taka in 2nd week (iii) 900 Taka in 3rd week and (iv) 500
Taka in the last week. To reduce the risk he chooses different commuting services with different
probability of pickpocket: on 1st week, Pathao ride (p = 1/300), on 2nd week Laguna service
(p=1/75), 3rd week local town service bus (p=1/60) and on the last week he takes his own bicycle
(p=1/100).
a) What is his risk on the first week? (TK)
b) What is his risk on the 2nd week? (TK)
c) What is his risk on the last week of the month?
d) What is his risk over the entire month (28 days)? (TK)
e) Which commuting service should he be most careful about? Why?

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