Let n be a positive integer andF (x) = 0 for x < 0 ⌊x⌋/n for 0 ≤ x ≤ n 1 for x > n.(Note that ⌊x⌋ = x rounded down.)(a) Prove that F is a valid CDF by verifying that it satisfies all properties(b) What distribution is this? (c) What is the support of this distribution?
Let n be a positive integer andF (x) = 0 for x < 0 ⌊x⌋/n for 0 ≤ x ≤ n 1 for x > n.(Note that ⌊x⌋ = x rounded down.)(a) Prove that F is a valid CDF by verifying that it satisfies all properties(b) What distribution is this? (c) What is the support of this distribution?
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
Section13.3: Special Probability Density Functions
Problem 54E
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Let n be a positive integer and
F (x) = 0 for x < 0
⌊x⌋/n for 0 ≤ x ≤ n
1 for x > n.
(Note that ⌊x⌋ = x rounded down.)
(a) Prove that F is a valid CDF by verifying that it satisfies all properties
(b) What distribution is this?
(c) What is the support of this distribution?
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