Unformatted text preview: r bacteria. In other words,
P(eventually die out | n bacteria) = p n .
Also, the probability that a single bacteria’s descendants will die out
must be independent of time. Conditioning on the number of bacteria
at the end of the 1st min:
3 p =
= ∑ P(eventually die out | i bacteria) · P(i bacteria after the 1st min) i =0
0 (p + p 1 + p 2 + p 3 ) · 0.25, which gives us p =
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2 − 1. ENGG2430C tutorial 4 February 12, 2013 9/9...
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- Variance, Probability theory, Px, Chinese University of Hong Kong, pz