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- dft - Understanding Polyphase Filter Banks - Signal Processing Stack . . .
$\begingroup$ Basically , when implementing polyphase decomposed bandpass filter (considering sample conversion) we exploit the noble identity to make the computation more efficientWe will decimate the input along each path, and given the high bandwidth, aliasing is inevitable
- self study - Probability of having 2 girls and probability of having at . . .
In this question the general formula P(A|B) = P(A ∩ B) P(B) is used I understand through intuition why the answer should be 1 3
- Hypothesis testing: Fishers exact test and Binomial test
The result obtained with the Fisher's exact test ("no significant difference between the proportion of girls and boys who finds that the cake tastes good") seems to contradict the results in (1) and (2), which say that the "more than 50% of the population of girls find that the cake tastes good" (1), and "no more than 50% of boys find that the
- probability - How many ways can 5 people sit around a table - can . . .
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- probability - What is the expected number of children until having the . . .
You can consider starting from position 1 for the difference of boys girls and move up and down randomly with 50% probability until reaching zero These type of walks have been described here: What is the distribution of time's to ruin in the gambler's ruin problem (random walk)? and based on the results in those answers we can see that the
- Learning probability bad reasoning. Conditional and unconditional . . .
(Source: Minka ) My neighbor has two children Assuming that the gender of a child is like a coin flip, it is most likely, a priori, that my neighbor has one boy and one girl, with probability 1 2 The other possibilities—two boys or two girls—have probabilities 1 4 and 1 4 a Suppose I ask him whether he has any boys, and he says yes
- Expected number of ratio of girls vs boys birth
NumberOfChilden Probability Girls Boys 1 0 5 1 0 2 0 25 1 1 2 0 25 0 2 In this case the total expected children is more easily calculated Expected girls from one couple${}=0 5\cdot1 + 0 25\cdot1 =0 75$
- what is the difference between a two-sample t-test and a paired t-test
While I was glancing at hypothesis tests, I saw paired and two-sample t-test but couldn't understand the difference For the explanation of these two tests, I saw the following sentence quot; Two-
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