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- dft - Understanding Polyphase Filter Banks - Signal Processing Stack . . .
I'm studying Polyphase Filter Banks (PFB) but am having some difficulty grasping the concept Let me clarify my understanding Suppose we have a signal ranging from DC to 1 25 GHz, and each channel
- Expected number of ratio of girls vs boys birth - Cross Validated
Expected girls from one couple$ {}=0 5\cdot1 + 0 25\cdot1 =0 75$ Expected boys from one couple$ {}=0 25\cdot1 + 0 25\cdot2 =0 75$ 1 As I said this works for any reasonable rule that could exist in the real world An unreasonable rule would be one in which the expected children per couple was infinite
- self study - Probability of having 2 girls and probability of having at . . .
Probability of having 2 girls and probability of having at least one girl Ask Question Asked 8 years, 7 months ago Modified 8 years, 7 months ago
- probability - What is the expected number of children until having the . . .
A couple decides to keep having children until they have the same number of boys and girls, and then stop Assume they never have twins, that the "trials" are independent with probability 1 2 of a boy, and that they are fertile enough to keep producing children indefinitely
- How to resolve the ambiguity in the Boy or Girl paradox?
1st 2nd boy girl boy seen boy boy boy seen girl boy The net effect is that even if I don't know which one is definitely a boy, the other child can only be a girl or a boy and that is always and only a 1 2 probability (ignoring any biological weighting that girls may represent 51% of births or whatever the reality is)
- normal distribution - What is the probability that a girl is taller . . .
3 "Given that boys' heights are distributed normally $\mathcal {N} (68$ inches, $4 5$ inches$)$ and girls are distributed $\mathcal {N} (62$ inches, $3 2$ inches$)$, what is the probability that a girl chosen at random is taller than a boy chosen at random?"
- Hypothesis testing: Fishers exact test and Binomial test
Considering the population of girls with tastes disorders, I do a binomial test with number of success k = 7, number of trials n = 8, and probability of success p = 0 5, to test my null hypothesis H0 = "my cake tastes good for no more than 50% of the population of girls with taste disorders" In python I can run binomtest(7, 8, 0 5, alternative="greater") which gives the following result
- Understanding intuition of the Two child problem
The information that at least one is a boy, however that has been decided to make that statement, does certainly exclude the probability of two girls The information about the day is seemingly not important)
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