Programming and Problem Solving With C++
Programming and Problem Solving With C++
6th Edition
ISBN: 9781449694265
Author: Nell Dale
Publisher: Jones & Bartlett Learning
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Chapter 3, Problem 3CSF
Program Plan Intro

Rewrite the program to set the interest rate as percentage.

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using r language for integration theta = integral 0 to infinity (x^4)*e^(-x^2)/2 dx (1) use the density function of standard normal distribution N(0,1) f(x) = 1/sqrt(2pi) * e^(-x^2)/2 -infinity <x<infinity as importance function and obtain an estimate theta 1 for theta set m=100 for the estimate whatt is the estimate theta 1? (2)use the density function of gamma (r=5 λ=1/2)distribution f(x)=λ^r/Γ(r) x^(r-1)e^(-λx) x>=0 as importance function and obtain an estimate theta 2 for theta set m=1000 fir the estimate what is the estimate theta2? (3) use simulation (repeat 1000 times) to estimate the variance of the estimates theta1 and theta 2 which one has smaller variance?
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using r language a continuous random variable X has density function f(x)=1/4x^3e^-(pi/2)^4,x>=0  derive the probability inverse transformation F^(-1)x where F(x) is the cdf of the random variable X
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