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A state lottery randomly chooses 8 balls numbered from 1 through 42 without replacement. You choose 8 numbers and purchase a lottery ticket. The random

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A state lottery randomly chooses 8 balls numbered from 1 through 42 without replacement. You choose 8 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x. Is the experiment binomial? O A. No, because the probability of success is different for each trial. O B. Yes, there are a fixed number of trials and the trials are independent of each other. O C. Yes, the probability of success is the same for each trial. O D. No, there are more than two outcomes for each trial. Identify a success. Choose the correct answer below. O A. A success is matching one of the numbers in the lottery. O B. A success is the number of matches on your ticket to the numbers drawn in the lottery. O C. A success is matching all of the numbers in the lottery. O D. The experiment is not binomial. Specify the values n, p, and q. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. n= ,p=, q= (Type integers or decimals.) O B. The experiment is not binomial. List the possible values of the random variable x. Choose the correct answer below. O A. The possible values for x are 1, 2, ..., 8. O B. The possible values for x are 1, 2, 3, 4, ..., 42. O C. The experiment is not binomial

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