Find the Probability
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Part 1
​P( chi Subscript 85 Superscript 2 greater than 79.355​) equals 
  
enter your response here
​(Round to four decimal places as​ needed.)

To solve the probability \( P(\chi^2_{85} > 79.355) \), we need to refer to the chi-square distribution table or use a statistical calculator/software since the chi-square distribution is not symmetric.

Given:
- Degrees of freedom (\(df\)) = 85
- We want to find \( P(\chi^2 > 79.355) \)

We use the complement rule and look up or calculate the cumulative distribution function (CDF) for the chi-square statistic.

Let me calculate the value.The probability \( P(\chi^2_{85} > 79.355) \) is approximately 0.6523.

Would you like further details or explanations on this calculation? 

Here are 5 related questions you could explore:
1. What is the meaning of a chi-square distribution?
2. How does the degrees of freedom affect the chi-square distribution?
3. How is the chi-square test used in hypothesis testing?
4. What is the relationship between chi-square values and p-values?
5. How can we interpret a high or low chi-square value?

**Tip:** Chi-square distributions are particularly useful when testing the fit of observed data to expected outcomes, such as in goodness-of-fit tests.

P(χ²₈₅ > 79.355) = ? (Round to four decimal places as needed.)

Discover how to find the probability for a chi-square distribution with 85 degrees of freedom, calculating P(χ²₈₅ > 79.355). Learn about chi-square distribution, cumulative distribution functions, and the importance of degrees of freedom. This guide is suitable for college-level statistics students.

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