1: Apply CLT to the following questions. Remember to check the condition of CLT. Let Y = X₁ + X2+... + X15 be the sum of a random sample of size 15 from the distribution whose p.d.f. is f(x) = (3/2)x², −1

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Q1: Apply CLT to the following questions. Remember to check the condition of CLT.
Let Y = X₁ + X₂+...+X15 be the sum of a random sample of size 15 from the distribution
whose p.d.f. is f(x) = (3/2)x², -1 < x < 1. Approximate
P(-0.3 ≤ y ≤ 1.5).
(1)
Transcribed Image Text:Q1: Apply CLT to the following questions. Remember to check the condition of CLT. Let Y = X₁ + X₂+...+X15 be the sum of a random sample of size 15 from the distribution whose p.d.f. is f(x) = (3/2)x², -1 < x < 1. Approximate P(-0.3 ≤ y ≤ 1.5). (1)
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