Let X₁, X₂, X3, X30 be a random sample of size 30 from the population X with the moment generating function given by Mx (t) = e(¹-1) Suppose that Y=X₁ i) Determine the probability density function of Y and find P(6

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b)
Let X₁, X2, X3, X30 be a random sample of size 30 from the population X with the moment
generating function given by
Mx (t) = e(¹-1)
Suppose that Y=X₁₁
i) Determine the probability density function of Y and find P(6<Y < 10).
ii) Use the central limit theorem to compute P(6 <Y < 10).
Transcribed Image Text:b) Let X₁, X2, X3, X30 be a random sample of size 30 from the population X with the moment generating function given by Mx (t) = e(¹-1) Suppose that Y=X₁₁ i) Determine the probability density function of Y and find P(6<Y < 10). ii) Use the central limit theorem to compute P(6 <Y < 10).
b)
Let X₁, X2, X3, X30 be a random sample of size 30 from the population X with the moment
generating function given by
Mx(t) = e(¹-1)
Suppose that Y= ₁₁X₁₁
i) Determine the probability density function of Y and find P(6<Y < 10).
ii) Use the central limit theorem to compute P(6 <Y < 10).
Transcribed Image Text:b) Let X₁, X2, X3, X30 be a random sample of size 30 from the population X with the moment generating function given by Mx(t) = e(¹-1) Suppose that Y= ₁₁X₁₁ i) Determine the probability density function of Y and find P(6<Y < 10). ii) Use the central limit theorem to compute P(6 <Y < 10).
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