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III. Darren's sock drawer contains 20 unmatched socks. He reaches in and grabs two socks at random. Suppose that 8 socks are black, 10 are navy, one is green and one is red. Let Z be the number of black socks Darren ends up wearing, and find the probability distribution of z. IV. A box of 12 light bulbs contains 8 good bulbs and 4 defective bulbs. A random sample of size 3 is chosen and tested. Find the probability distribution of W, the number of defective bulbs found.
Section 8.1 Worksheet Math 130 Complete the specified probability distribution tables and enter the table values into Canvas. For example, for Question 1 Canvas will prompt you to select P[X = 0), P[X = 1], P[X = 2) and P[X = 3] from drop-down menus. When working out the tables, leave your answers as fractions, as the options in Canvas are given as fractions. I. Suppose we flip three coins, and let X be the number of heads that are showing. Find the probability distribution of X. II. Suppose we draw 2 cards from a standard deck, with replacement (so the first card is replaced before we draw the second), and let y be the number of hearts drawn. Find the probability distribution of Y.
III. Darren's sock drawer contains 20 unmatched socks. He reaches in and grabs two socks at random. Suppose that 8 socks are black, 10 are navy, one is green and one is red. Let Z be the number of black socks Darren ends up wearing, and find the probability distribution of z. IV. A box of 12 light bulbs contains 8 good bulbs and 4 defective bulbs. A random sample of size 3 is chosen and tested. Find the probability distribution of W, the number of defective bulbs found.