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  1. Expected number of ratio of girls vs boys birth - Cross Validated

    Apr 15, 2014 · 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 …

  2. How to resolve the ambiguity in the Boy or Girl paradox?

    Jul 4, 2023 · 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 …

  3. Hypothesis testing: Fisher's exact test and Binomial test

    Feb 9, 2022 · 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 …

  4. probability - What is the expected number of children until having …

    Apr 1, 2018 · Source: (Harvard Statistics 110: see #17, p. 29 of pdf). A couple decides to keep having children until they have at least one boy and at least one girl, and then stop. Assume …

  5. self study - Probability of having 2 girls and probability of having …

    Aug 18, 2017 · Probability of having 2 girls and probability of having at least one girl Ask Question Asked 8 years, 4 months ago Modified 8 years, 4 months ago

  6. Sample notation: When to use capital $N$ vs lowercase $n$?

    Jan 10, 2024 · Use standard type for Greek letters, subscripts and superscripts that function as identifiers (i.e., are not variables, as in the subscript “girls” in the example that follows), and …

  7. probability - How many ways can 5 people sit around a table - can ...

    Mar 2, 2017 · A probability problem: In how many different ways can 5 people sit around a round table? Is the symmetry of the table important? Answer: If the symmetry of the table is not …

  8. regression - Building a linear model for a ratio vs. percentage ...

    Echoing the first answer. Don't bother to convert - just model the counts and covariates directly. If you do that and fit a Binomial (or equivalently logistic) regression model to the boy girl counts …

  9. Ideal BandPass Filter - Signal Processing Stack Exchange

    Feb 7, 2015 · How x (t) is 2 or 3? isn't it a periodic rectangular signal? i want the response y (t).

  10. self study - Find probability and expectation - Cross Validated

    Aug 2, 2012 · Equivalently, the girls must be in the remaining $20-x$ positions, which can occur in $\binom {20-x} {2}$ distinct equiprobable ways out of all the $\binom {20} {2}$ possible pairs of …