Discrete Probability Distribution

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SUMMARY

The discussion centers on solving problems related to discrete probability distributions, specifically addressing homework questions involving independent events. Key answers provided include (a) 0.3233, (b) 2, and various probabilities for part (c). The participants explore the implications of independent events in probability, particularly regarding the occurrence of rainstorms and how past events influence future probabilities.

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  • Understanding of discrete probability distributions
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  • Knowledge of independent events in probability theory
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  • Study the properties of discrete probability distributions
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  • Research the concept of independent events and their implications in probability
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Students studying probability theory, educators teaching discrete mathematics, and anyone looking to enhance their understanding of probability distributions and their applications.

chrisyuen
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Homework Statement



probability02.jpg


(Answers:
(a) 0.3233
(b) 2
(c)(i) 0.6489
(c)(ii) 0.1669
(c)(iii) 0.2369)

Homework Equations



Formulae for Discrete Probability Distributions

The Attempt at a Solution



I don't know how to solve part (b) only.

For (b), I have no idea.

Is it using the Geometric Progression (a / (1 - r))?

Can anyone tell me how to solve it?

Thank you very much!
 
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Maybe I am missing something, but doesn't it say that the rainstorms occur independently?
So then wouldn't "there were two storms last year" actually be non-information (i.e. it doesn't change the probability for more than two storms in this year, or any other year)?

(Of course, it would be different if they had said "there has been one rainstorm this year already, what is the probability that there will be more than two")
 

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