Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the following probability density function: f(x) = 2 (0, 2, if 0 < x < 00 otherwise Suppose that Y = ₁X₁. Use i) the Central Limit Theorem to compute P(40

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1.b

STATISTICAL INFERENCE

Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the
following probability density function:
f(x)
=
e 2, if 0 < x < ∞
otherwise
2
0,
Suppose that Y =
₁X₁. Use
i) the Central Limit Theorem to compute 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: f(x) = e 2, if 0 < x < ∞ otherwise 2 0, Suppose that Y = ₁X₁. Use i) the Central Limit Theorem to compute P(40 <Y < 80).
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