a) Let X₁, X2, X3,..., X₁ be a random sample of size n from population X. Suppose that X follows n an exponential distribution with parameter and Y = ₁=1 X₁. bl iii) What is the value of sample size n, if P(|Y - 2n| < 40) ≥ 0.025? iv) Use the Central Limit Theorem to compute P(100

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QUESTION 1
a)
Let X₁, X2, X3,..., Xn be a random sample of size n from population X. Suppose that X follows
an exponential distribution with parameter and Y = =-=1X₁.
19
iii) What is the value of sample size n, if P(|Y - 2n| < 40) ≥ 0.025?
iv) Use the Central Limit Theorem to compute P(100 <Y <115), for n = 40.
of Y
V ho a random sample of size 5 from the standard normally population. If the
Transcribed Image Text:QUESTION 1 a) Let X₁, X2, X3,..., Xn be a random sample of size n from population X. Suppose that X follows an exponential distribution with parameter and Y = =-=1X₁. 19 iii) What is the value of sample size n, if P(|Y - 2n| < 40) ≥ 0.025? iv) Use the Central Limit Theorem to compute P(100 <Y <115), for n = 40. of Y V ho a random sample of size 5 from the standard normally population. If the
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