They are, if the sampling and replacement processes don't introduce any bias.
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The relative frequency of an event, from repeated trials, is the number of times the event occurs as a proportion of the total number of trials - provided that the trials are independent.
There is no such term. The regression (or correlation) coefficient changes as the sample size increases - towards its "true" value. There is no measure of association that is independent of sample size.
sample data drawn from one population is completely unrelated to the selection of sample data from the other population.
Binomials are used when the total of n independent trials take place and one wants to find the probability of r successes, when each success has a probability "p" of occurring. There should be independent trails, Probability of success stays the same for all trials, Fixed number of trials and Two different classifications in order to use binomial distribution.
No. The fact that the outcome of one trial does not affect the outcome of any other trial follows from the fact that the trials that are independent. Whether the distribution is binomial or not is totally irrelevant.