A state lottery randomly chooses 7 balls numbered from 1 through 44 without repl
ID: 3067358 • Letter: A
Question
A state lottery randomly chooses 7 balls numbered from 1 through 44 without replacement. You choose 7 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? A. ?Yes, there are a fixed number of trials and the trials are independent of each other. B. ?No, there are more than two outcomes for each trial. C. ?Yes, the probability of success is the same for each trial. D. ?No, because the probability of success is different for each trial. Identify a success. Choose the correct answer below. A. A success is matching one of the numbers in the lottery. B. A success is the number of matches on your ticket to the numbers drawn in the lottery. C. A success is matching all of the numbers in the lottery. 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. A. nequals nothing?, pequals nothing?, qequals nothing ?(Type integers or? decimals.) B. The experiment is not binomial. List the possible values of the random variable x. Choose the correct answer below. A. The possible values for x are? 1, 2,? 3, 4,? ..., 44. B. The possible values for x are? 1, 2,? ..., 7. C. The experiment is not binomial.
Explanation / Answer
The balls are not being replaced and the probability of success is different from each trial. Hence the experiment is not binomial and n, p and q do not apply.
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