Determine the probability P (2) for a binomial experiment with n = 8 trials and success probability p=0.5. Then find the mean, variance, and standard deviation. Part: 0/3 Part 1 of 3 Determine the probability P (2). Round the answer to at least four decimal places. P (2) = X S

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**Task: Determining Probability and Statistical Measures for a Binomial Experiment**

**Instructions:**

1. **Objective:** Determine the probability \( P(2) \) for a binomial experiment with the following parameters:
   - Number of trials (\( n \)) = 8
   - Probability of success in each trial (\( p \)) = 0.5

2. **Additional Calculations:** Find the mean, variance, and standard deviation of the binomial distribution.

**Part 1 of 3:**

- Task: Calculate the probability \( P(2) \).
- Requirement: Round the answer to at least four decimal places.

**Interactive Components:**

- An input box is provided to enter the calculated probability \( P(2) \).
- There are buttons labeled with an "X" and a circular arrow, which presumably allow the user to reset or submit their input. 

This task focuses on applying binomial probability formulas and statistical principles to solve a defined problem.
Transcribed Image Text:**Task: Determining Probability and Statistical Measures for a Binomial Experiment** **Instructions:** 1. **Objective:** Determine the probability \( P(2) \) for a binomial experiment with the following parameters: - Number of trials (\( n \)) = 8 - Probability of success in each trial (\( p \)) = 0.5 2. **Additional Calculations:** Find the mean, variance, and standard deviation of the binomial distribution. **Part 1 of 3:** - Task: Calculate the probability \( P(2) \). - Requirement: Round the answer to at least four decimal places. **Interactive Components:** - An input box is provided to enter the calculated probability \( P(2) \). - There are buttons labeled with an "X" and a circular arrow, which presumably allow the user to reset or submit their input. This task focuses on applying binomial probability formulas and statistical principles to solve a defined problem.
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