In a binomial experiment consisting of six trials, what is the number of different values that x (the number of successes) can assume? 2 O 6 12

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**Question 9: Binomial Experiment Analysis**

In a binomial experiment consisting of six trials, what is the number of different values that \( x \) (the number of successes) can assume?

- 2
- 6
- 7
- 12

**Explanation:**

In a binomial experiment with \( n \) trials, the random variable \( x \), which represents the number of successes, can assume any value from 0 to \( n \). Therefore, the number of different values \( x \) can take is \( n + 1 \).

For six trials, \( x \) can take values ranging from 0 through 6, resulting in 7 possible values. Hence, the correct answer is 7.
Transcribed Image Text:**Question 9: Binomial Experiment Analysis** In a binomial experiment consisting of six trials, what is the number of different values that \( x \) (the number of successes) can assume? - 2 - 6 - 7 - 12 **Explanation:** In a binomial experiment with \( n \) trials, the random variable \( x \), which represents the number of successes, can assume any value from 0 to \( n \). Therefore, the number of different values \( x \) can take is \( n + 1 \). For six trials, \( x \) can take values ranging from 0 through 6, resulting in 7 possible values. Hence, the correct answer is 7.
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