Suppose in a carnival game, there are nine identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the nine boxes. What values of n, r, and p of a binomial probability distribution do you use to find the probability that a contestant who plays the game five times wins exactly three times? Round p to two decimal places if necessary. O n=5; r = 3; p = 0.2 O n=5; r = 3; p = 0.11 O n=9; r = 3; p = 0.6 On=3; r = 9; p=0.6 O n=3; r = 9; p = 0.11

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### Binomial Probability Problem

Suppose in a carnival game, there are nine identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the nine boxes. 

**Question:** What values of \( n \), \( r \), and \( p \) of a binomial probability distribution do you use to find the probability that a contestant who plays the game five times wins exactly three times? Round \( p \) to two decimal places if necessary.

**Answer Choices:**

1. \( n = 5 \); \( r = 3 \); \( p = 0.2 \)
2. \( n = 5 \); \( r = 3 \); \( p = 0.11 \)
3. \( n = 9 \); \( r = 3 \); \( p = 0.6 \)
4. \( n = 3 \); \( r = 9 \); \( p = 0.6 \)
5. \( n = 3 \); \( r = 9 \); \( p = 0.11 \)

In this context:
- \( n \) represents the number of trials.
- \( r \) represents the number of successes.
- \( p \) represents the probability of success on an individual trial.

Evaluate the values to determine the correct binomial probability parameters for the given scenario.
Transcribed Image Text:### Binomial Probability Problem Suppose in a carnival game, there are nine identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the nine boxes. **Question:** What values of \( n \), \( r \), and \( p \) of a binomial probability distribution do you use to find the probability that a contestant who plays the game five times wins exactly three times? Round \( p \) to two decimal places if necessary. **Answer Choices:** 1. \( n = 5 \); \( r = 3 \); \( p = 0.2 \) 2. \( n = 5 \); \( r = 3 \); \( p = 0.11 \) 3. \( n = 9 \); \( r = 3 \); \( p = 0.6 \) 4. \( n = 3 \); \( r = 9 \); \( p = 0.6 \) 5. \( n = 3 \); \( r = 9 \); \( p = 0.11 \) In this context: - \( n \) represents the number of trials. - \( r \) represents the number of successes. - \( p \) represents the probability of success on an individual trial. Evaluate the values to determine the correct binomial probability parameters for the given scenario.
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