Determining the chi-square distribution
If X1 and X2 are independent random variables, X1 has a chi-square distribution with 3 degrees of freedom, and X1 + X2 has a chi-square distribution with 7 degrees of freedom. Prove that X2 has a chi-square distribution with 4 degrees of freedom.
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The solubility of compound A in ethanol is 0.4g per 100ml at 0degrees celsius and 5.0g per 100 ml at 75 degreescelsius. What is the minimum amount of solvent needed torecrystallize an 8.0g sample of compound A?
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A company manufacturing electronic components for home entertainment systems buys electrical connectors from three suppliers. The company prefers to use supplier A because only 1% of those connectors prove to be defective, but supplier A can deliv
If X1 and X2 are independent random variables, X1 has a chi-square distribution with 3 degrees of freedom, and X1 + X2 has a chi-square distribution with 7 degrees of freedom. Prove that X2 has a chi-square distribution
Imagine that this reaction occurs in a container that has a piston that moves to allow a constant pressure to be maintained when the reaction occurs at constant temperature.
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