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Question

5. Let X₁,..., X18 be a random sample of size 18 from a chi-squared distribution with one

degree of freedom. Let Y denote , X₁.

(a) How is Y distributed?

(b) Using an appropriate table, find P(Y ≤9.390).

(c) Using the Central Limit Theorem, approximate P(Y ≤9.390).

2 Problems 1 2 8 9 11 12 b

Fig: 1