Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 06 Jan 2018 My Price 7.00

traffic tickets

You drive to work 5 days a week for a full year (50 weeks), and with probability p = 0.02 you get a traffic ticket on any given day, independent of other days. Let X be the total number of tickets you get in the year.

(a) What is the probability that the number of tickets you get is exactly equal to the expected value of X? (b) Calculate approximately the probability in (a) using a Poisson approximation.

(c) Any one of the tickets is $10 or $20 or $50 with respective probabilities 0.5, 0.3, and 0.2, and independent of other tickets. Find the mean and the variance of the amount of money you pay in traffic tickets during the year.

(d) Suppose you don't know the probability p of getting a ticket. but you got 5 tickets during the year, and you estimate p by the sample mean

 

What is the range of possible values of p assuming that the difference between p and the sample mean p is within 5 times the standard deviation of the sample mean?

Answers

Maurice Tutor
(5)
Status NEW Posted 06 Jan 2018 04:01 PM My Price 7.00

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