6. Suppose that Z has a standard normal distribution. (a) Find the density function of U = Z2 using the CDF method and the mgf method (b) Does U have a gamma distribution? What are the values of a and ẞ? (c) What is another name for the distribution of U? Hint: See the Table of Distributions

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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6. Suppose that Z has a standard normal distribution.
(a) Find the density function of U = Z2 using the CDF method and the mgf method
(b) Does U have a gamma distribution? What are the values of a and ẞ?
(c) What is another name for the distribution of U? Hint: See the Table of Distributions
Transcribed Image Text:6. Suppose that Z has a standard normal distribution. (a) Find the density function of U = Z2 using the CDF method and the mgf method (b) Does U have a gamma distribution? What are the values of a and ẞ? (c) What is another name for the distribution of U? Hint: See the Table of Distributions
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,