A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0.48. What is the probability of success on trial 11? 0.48 0.59 0.82 0.36 0.26 0.18

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### Understanding Binomial Experiments

A binomial experiment consists of a fixed number of independent trials, each of which results in either success or failure. The probability of success remains constant across all trials.

#### Example Problem:

**Problem Statement**:
A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0.48. What is the probability of success on trial 11?

**Multiple Choice Answers**:
- 0.48
- 0.59
- 0.82
- 0.36
- 0.26
- 0.18

#### Solution:

In a binomial experiment, the probability of success is the same for each trial since the trials are independent and identically distributed. Hence, the probability of success on any specific trial is identical.

Given:
- Number of trials = 14
- Probability of success on trial 7 = 0.48

Since the trials are identical and independent, the probability of success on any other specific trial, including trial 11, is also 0.48.

**Correct Answer**:
- 0.48

This problem illustrates a fundamental property of binomial experiments: the constant probability of success across all trials.
Transcribed Image Text:### Understanding Binomial Experiments A binomial experiment consists of a fixed number of independent trials, each of which results in either success or failure. The probability of success remains constant across all trials. #### Example Problem: **Problem Statement**: A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0.48. What is the probability of success on trial 11? **Multiple Choice Answers**: - 0.48 - 0.59 - 0.82 - 0.36 - 0.26 - 0.18 #### Solution: In a binomial experiment, the probability of success is the same for each trial since the trials are independent and identically distributed. Hence, the probability of success on any specific trial is identical. Given: - Number of trials = 14 - Probability of success on trial 7 = 0.48 Since the trials are identical and independent, the probability of success on any other specific trial, including trial 11, is also 0.48. **Correct Answer**: - 0.48 This problem illustrates a fundamental property of binomial experiments: the constant probability of success across all trials.
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