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\title{
Exam for Probability \& Statistics (6PAS1) \\ winter semester 2025/2026
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\section*{Questions set no. 4}

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\textbf{1.}
Define the binomial distribution, and compute its expectation and variance.


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\textbf{2.}
You are waiting at the stop where a bus and a tram stop. The bus comes every 
four minutes, and the tram comes every six minutes. Find the probability that
\\ 
a) the bus will arrive before the tram; 
\\
b) the bus will arrive in less than
3 minutes, and the tram will arrive in less than one minute.



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