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Suppose X t(4), Y~ t(200), and Z~ N(0, 1). Answer the following questions. Attach R code if used. (a) Compute P(X > 2), P(Y > 2), and P(Z > 2). (b) Compare and contrast the probabilities you got in part (a). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (c) Compute P(-0.5 < X < 0.5), P(-0.5

Suppose X t(4), Y~ t(200), and Z~ N(0, 1). Answer the following questions. Attach R code if used. (a) Compute P(X > 2), P(Y > 2), and P(Z > 2). (b) Compare and contrast the probabilities you got in part (a). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (c) Compute P(-0.5 < X < 0.5), P(-0.5

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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Suppose X t(4), Y t(200), and Z~ N(0, 1). Answer the following questions. Attach R code if used. (a) Compute P(X > 2), P(Y > 2), and P(Z > 2). (b) Compare and contrast the probabilities you got in part (a). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (c) Compute P(-0.5 < X < 0.5), P(-0.5<Y <0.5), and P(-0.5 < Z < 0.5). (c) Compare and contrast the probabilities you got in part (c). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (e) Based on your answers in the previous parts, complete the following sentence. "Compared with the standard normal distribution and the t-distribution with a large degrees of freedom, the t-distribution with a small degrees of freedom has cails and center."
Transcribed Image Text:Suppose X t(4), Y t(200), and Z~ N(0, 1). Answer the following questions. Attach R code if used. (a) Compute P(X > 2), P(Y > 2), and P(Z > 2). (b) Compare and contrast the probabilities you got in part (a). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (c) Compute P(-0.5 < X < 0.5), P(-0.5<Y <0.5), and P(-0.5 < Z < 0.5). (c) Compare and contrast the probabilities you got in part (c). Which one has largest probability? Which one has the smallest probability? Which ones are close to each other? Which ones are different from each other? (e) Based on your answers in the previous parts, complete the following sentence. "Compared with the standard normal distribution and the t-distribution with a large degrees of freedom, the t-distribution with a small degrees of freedom has cails and center."
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