(a) Compute P(16 k) = 0.1. Round your answer to at least two decimal places. k=0

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Suppose that \(\chi^2\) follows a [chi-square distribution](https://en.wikipedia.org/wiki/Chi-squared_distribution) with 20 [degrees of freedom](https://en.wikipedia.org/wiki/Degrees_of_freedom_(statistics)).

Use the ALEKS calculator to answer the following.

(a) Compute \( P(16 \leq \chi^2 \leq 31) \). Round your answer to at least three decimal places.

\[ P(16 \leq \chi^2 \leq 31) = \boxed{\phantom{a}} \]

(b) Find \( k \) such that \( P(\chi^2 > k) = 0.1 \). Round your answer to at least two decimal places.

\[ k = \boxed{\phantom{a}} \]
Transcribed Image Text:Suppose that \(\chi^2\) follows a [chi-square distribution](https://en.wikipedia.org/wiki/Chi-squared_distribution) with 20 [degrees of freedom](https://en.wikipedia.org/wiki/Degrees_of_freedom_(statistics)). Use the ALEKS calculator to answer the following. (a) Compute \( P(16 \leq \chi^2 \leq 31) \). Round your answer to at least three decimal places. \[ P(16 \leq \chi^2 \leq 31) = \boxed{\phantom{a}} \] (b) Find \( k \) such that \( P(\chi^2 > k) = 0.1 \). Round your answer to at least two decimal places. \[ k = \boxed{\phantom{a}} \]
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