Discrete Probability Distribution

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The discussion revolves around solving a discrete probability distribution problem, specifically focusing on part (b) of the homework. The participant expresses confusion about how to approach this part, questioning whether it involves using the Geometric Progression formula. They highlight the independence of rainstorm occurrences, suggesting that knowing there were two storms last year does not affect the probability of future storms. The conversation emphasizes the importance of understanding how past events influence current probabilities in discrete distributions. Clarification on these concepts is sought to aid in solving the problem effectively.
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")
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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