Show that if 0

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section: Chapter Questions
Problem 8CT
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A1 Consider the Normal Power approximation
1. Show that if 0 <y<1, and Y ~ N(0,1), we have that
9.
3
P[Y + (Y? – 1) < 2] × ¢
z + 1
where is the CDF of the N(0,1) distribution.
2. Assume that the total claim S is compound Poisson distributed with parameter A = 12 and
uniform (0,1) distributed claims. Use the NP approximation to estimate P(S < 10).
Transcribed Image Text:1. Show that if 0 <y<1, and Y ~ N(0,1), we have that 9. 3 P[Y + (Y? – 1) < 2] × ¢ z + 1 where is the CDF of the N(0,1) distribution. 2. Assume that the total claim S is compound Poisson distributed with parameter A = 12 and uniform (0,1) distributed claims. Use the NP approximation to estimate P(S < 10).
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