(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."
(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."
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Do part d and e only
thanks
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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