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Discrete Mathematics
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answerhappygod
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Discrete Mathematics
Discrete Mathematics
Suppose we have a bowl containing N balls where w of the balls are white. • If we draw n balls simultaneously (where n ≤ min{N – w, w}), calculate the probability that we draw k white balls (where k≤w)? . Let us define the random variable X equal to the number of white balls drawn among the n total balls. Assuming n ≤ min{N - w, w} and k ≤ w, what is the domain of X? • Prove that E[X] = 2 n w Instead of drawing the n balls simultaneously, suppose we draw the n balls one at a time with replacement. This means that after each draw, we put the ball back into the bowl. Let Y be the random variable equal to the number of white balls drawn among the n total balls. • Fully specify PDFy and compute E[Y]?
Suppose we have a bowl containing N balls where w of the balls are white. • If we draw n balls simultaneously (where n ≤ min{N – w, w}), calculate the probability that we draw k white balls (where k≤w)? . Let us define the random variable X equal to the number of white balls drawn among the n total balls. Assuming n ≤ min{N - w, w} and k ≤ w, what is the domain of X? • Prove that E[X] = 2 n w Instead of drawing the n balls simultaneously, suppose we draw the n balls one at a time with replacement. This means that after each draw, we put the ball back into the bowl. Let Y be the random variable equal to the number of white balls drawn among the n total balls. • Fully specify PDFy and compute E[Y]?