Lawrence likes to shoot a bow and arrow in his free time. On any shot, he has about a 10% chance of hitting the bull's-eye. As a challenge one day, Lawrence decides to keep shooting until he gets a bull's-eye. Let Y = the number of shots he takes. Does this scenario describe a binomial setting? Justify your answer. Yes, this is a binomial setting and X has a binomial distribution with n = 10 and p = 0.10. No, this is not a binomial setting because the probability of success is not the same for each trial. No, this is not a binomial setting because the trials are not independent. No, this is not a binomial setting because there are not a fixed number of trials. No, this is not a binomial setting because the given scenario is not binary.

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**Scenario Description**

Lawrence enjoys shooting a bow and arrow during his free time. With each shot, he has approximately a 10% probability of hitting the bull's-eye. On a particular day, he decides to continue shooting until he successfully hits the bull's-eye. Let \( Y \) represent the number of shots he takes.

**Question**

Does this scenario describe a binomial setting? Justify your answer.

**Answer Options**

- ○ Yes, this is a binomial setting and \( X \) has a binomial distribution with \( n = 10 \) and \( p = 0.10 \).
- ○ No, this is not a binomial setting because the probability of success is not the same for each trial.
- ○ No, this is not a binomial setting because the trials are not independent.
- ○ No, this is not a binomial setting because there are not a fixed number of trials.
- ○ No, this is not a binomial setting because the given scenario is not binary.
Transcribed Image Text:**Scenario Description** Lawrence enjoys shooting a bow and arrow during his free time. With each shot, he has approximately a 10% probability of hitting the bull's-eye. On a particular day, he decides to continue shooting until he successfully hits the bull's-eye. Let \( Y \) represent the number of shots he takes. **Question** Does this scenario describe a binomial setting? Justify your answer. **Answer Options** - ○ Yes, this is a binomial setting and \( X \) has a binomial distribution with \( n = 10 \) and \( p = 0.10 \). - ○ No, this is not a binomial setting because the probability of success is not the same for each trial. - ○ No, this is not a binomial setting because the trials are not independent. - ○ No, this is not a binomial setting because there are not a fixed number of trials. - ○ No, this is not a binomial setting because the given scenario is not binary.
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