Use the calculator provided to solve the following problems. Suppose that x^2 fo

Question

Use the calculator provided to solve the following problems. Suppose that x^2 follows a chi-square distribution with 26 degrees of freedom. Compute p(18 lessthanorequalto x^2 lessthanorequalto 35). Round your answer to at least three decimal places. Suppose again that x2 follows a chi-square distribution with 26 degrees of freedom. Find k such that P(x^2 greaterthanorequalto k) = 0.1. Round your answer to at least two decimal places. Find the median of the chi-square distribution with 26 degrees of freedom. Round your answer to at least two decimal places.

Explanation / Answer

1. P(18<X2<35)=P(X2<35)-P(X2<18)=0.89-0.12=0.77

we get the value from table.

2. P(X2>k)=1-P(X2<k)

P(X2<35.6)=0.9

so, k-35.6

3. n*(1-2/9k)3 is fORMULA FIR MEDIAN. n is the df .

putting k=26, we get median =25.34 approx

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