a) Suppose that X₁, X₂, X3.....X, is a random sample of n from population X which has a chi- square distribution with one degrees of freedom. (i) Find lim Mx (t). 72-00 (ii) Use the Central Limit Theorem to compute P(0.5 < X < 1.5), for n = 30. (iii) Use the Chebychev inequality to find the value of k for P(0.5 < X < 1.5), if n = 30.
a) Suppose that X₁, X₂, X3.....X, is a random sample of n from population X which has a chi- square distribution with one degrees of freedom. (i) Find lim Mx (t). 72-00 (ii) Use the Central Limit Theorem to compute P(0.5 < X < 1.5), for n = 30. (iii) Use the Chebychev inequality to find the value of k for P(0.5 < X < 1.5), if n = 30.
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![a)
Suppose that X₁, X₂, X3.....X is a random sample of n from population X which has a chi-
square distribution with one degrees of freedom.
(i) Find lim Mx (t).
72-00
(ii) Use the Central Limit Theorem to compute P(0.5 < X < 1.5), for n = 30.
(iii) Use the Chebychev inequality to find the value of k for P(0.5 < X < 1.5), if n = 30.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5828d81-5903-4c95-bdbe-0b0c98c040f7%2F9b05d6c0-6804-4f4d-a46b-15858452d4d1%2Fncudsqp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a)
Suppose that X₁, X₂, X3.....X is a random sample of n from population X which has a chi-
square distribution with one degrees of freedom.
(i) Find lim Mx (t).
72-00
(ii) Use the Central Limit Theorem to compute P(0.5 < X < 1.5), for n = 30.
(iii) Use the Chebychev inequality to find the value of k for P(0.5 < X < 1.5), if n = 30.
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