You roll two number cubes. Let event A = You roll an even number on the first cube. Let event B = You roll a 6 on the second cube. Are the events independent or dependent? Why? A. Dependent, because 6 is an even number. B. Independent, because they have no outcomes in common. C. Dependent, because both cubes have six sides. D. Independent, because the outcome of the first roll doesn't affect the outcome of the second roll.

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3. a sum of $2700 is to be given in the form of 63 prizes. if the prize is of either $100 or $25, find the number of prizes of each type.

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.