6. State yes/no in each part, and explain in a sentence or two. a. You have a drawer filled with 20 balls, which are colored black or white. You have 12 black and 8 white balls. You randomly select a ball, record the color, and put the ball back into the drawer. Then you go to randomly select another from the drawer. Is the probability that the second pick is white independent of what the first ball color was? b. You have a box containing 52 cards, which are either red or black. You have 26 red cards and 26 black cards. You randomly select a card (do not put it back in the box). Then you go to randomly select another card. Is the probability that the second pick is red independent of what the first card was? c. A basketball player is going to do a free throw 100 times at practice. They are interested in the number of goals they make (each throw is either a goal or not). If each free throw attempt is independent with a 90% chance (0.90 probability) of being a goal, then is the total number of free throws that are goals in the 100 attempts following a binomial distribution
6. State yes/no in each part, and explain in a sentence or two.
a. You have a drawer filled with 20 balls, which are colored black or white. You have 12 black and 8 white balls. You randomly select a ball, record the color, and put the ball back into the drawer. Then you go to randomly select another from the drawer. Is the
b. You have a box containing 52 cards, which are either red or black. You have 26 red cards and 26 black cards. You randomly select a card (do not put it back in the box). Then you go to randomly select another card. Is the probability that the second pick is red independent of what the first card was?
c. A basketball player is going to do a free throw 100 times at practice. They are interested in the number of goals they make (each throw is either a goal or not). If each free throw attempt is independent with a 90% chance (0.90 probability) of being a goal, then is the total number of free throws that are goals in the 100 attempts following a binomial distribution
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