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1. Estimating red balls from draw frequencies ●○○○○ 10 ptsAn opaque bag contains a total of $20$ balls, each either red or white, identical except for color. A ball is drawn at random, its color is noted, and it is put back; this is repeated many times. The results are: - out of $50$ draws, $11$ red - out of $100$ draws, $27$ red - out of $200$ draws, $50$ red - out of $500$ draws, $124$ red - out of $800$ draws, $201$ red - out of $1000$ draws, $249$ red Estimate the number of red balls in the bag.