Question: 9.23. Suppose that the random variable X has a chi-square distribution with 10 de- grees of freedom. If we are asked to find two numbers

9.23. Suppose that the random variable X has a chi-square distribution with 10 de- grees of freedom. If we are asked to find two numbers a and b such that P(a < x <

b) = 0.85, say, we should realize that there are many pairs of this kind.

(a) Find two different sets of values

(a,

b) satisfying the above condition.

(b) Suppose that in addition to the above, we require that P(X <

a) = P(X > b). How many sets of values are there?

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