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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. Girls who will attend a party, and features of the party. Probability of having 2 girls and probability of having at least one girl ask question asked 8 years, 2 months ago modified 8 years, 2 months ago

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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 For example, let's say i want to predict the number of boys vs An unreasonable rule would be one in which the expected children per couple was infinite.

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).

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. 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. 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. Assume that x x is a random height of a boy and y y is a random height of a girl and these variables are independent

Now, the probability you want to assess is

Suppose i want to build a model to predict some kind of ratio or percentage