Let X₁, X2, X3, X30 be a random sample of size 30 from a population distributed with the following probability density function: Suppose that Y= ₁X₁. Use =- €²- (0, f(x) = - if 0

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Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the
following probability density function:
30
Suppose that Y = ₁X₁. Use
f(x) =
- if 0<x<∞0
otherwise
Ⓡ
(0,
ii) the Central Limit Theorem to compute P(40<Y < 80).
iii) the Chebychev inequality to find the lower bound of P(40 <Y < 80).
Transcribed Image Text:Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the following probability density function: 30 Suppose that Y = ₁X₁. Use f(x) = - if 0<x<∞0 otherwise Ⓡ (0, ii) the Central Limit Theorem to compute P(40<Y < 80). iii) the Chebychev inequality to find the lower bound of P(40 <Y < 80).
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