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A couple decides to keep having children until they have the same number of boys and girls, and then stop 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? 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.
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). Plotting the dependent variables in a scatter plot with different colors for the groups, in order to see what kind of distribution you are dealing. 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.
Probability of having 2 girls and probability of having at least one girl ask question asked 8 years, 3 months ago modified 8 years, 3 months ago Thanks to the answers i now understand why the ratio would be 1:1, which originally sounds counter intuitive to me One of the reason for my disbelief and confusion is that, i know villages in china have the opposite problems of too high of boys:girls ratio I can see that realistically, couples won't be able to continue to procreate indefinitely until they get the gender of child they want.
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 abbreviations that are not variables (e.g., log, glm, wls) Use bold type for symbols for vectors and matrices Use italic type for all other statistical symbols. A couple decides to keep having children until they have at least one boy and at least one girl, and then stop
Assume they never have twi.
In how many different ways can 5 people sit around a round table Is the symmetry of the table important If the symmetry of the table is not taken into account the. Alternatively, you could inverse the relation and model the independent group variable as a function of the dependent variables
This is especially interesting with the multivariate type of dependent data if it has some structure, e.g
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