A state lottery randomly chooses 7 balls numbered from 1 through 45 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.

Question

Mathematics

Parker Bray

14 November, 23:24

A state lottery randomly chooses 7 balls numbered from 1 through 45 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.

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Answers (1)

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Ayala · Answer 1

Answer is D - No, because the probability of success is different for each trial.

Step-by-step explanation:

As given-

A state lottery randomly chooses 7 balls numbered from 1 through 45 without replacement.

You choose 7 numbers and purchase a lottery ticket.

Determine whether this experiment is binomial.

Answer is D - No, because the probability of success is different for each trial.