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Suppose that χ2 follows a chi-square distribution with 6 degrees of freedom. Compute P(4≤χ2≤10). Round your...

  • Suppose that χ2 follows a chi-square distribution with 6 degrees of freedom. Compute P(4≤χ2≤10). Round your answer to at least three decimal places.
  • Suppose again that χ2 follows a chi-square distribution with 6 degrees of freedom. Find k such that P(χ2≥k)=0.05. Round your answer to at least two decimal places.
  • Find the median of the chi-square distribution with 6 degrees of freedom. Round your answer to at least two decimal places.

P(4≤χ2≤10)= ?

k=?

Median=?

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Answer #1

SOLUTION:

From given data,

Suppose that χ2 follows a chi-square distribution with 6 degrees of freedom. Compute P(4≤χ2≤10).

from excel "=CHIDIST(4,6)" and "=CHIDIST(10,6)"

Suppose again that χ2 follows a chi-square distribution with 6 degrees of freedom. Find k such that P(χ2≥k)=0.05.

from excel "=CHINV(0.05,6)

Find the median of the chi-square distribution with 6 degrees of freedom

   from excel "=CHINV(0.5,6)

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