this is for holding javascript data
Chien-Pin Chen problem 2a first fraft
about 8 years ago
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the figure, and $m_k=n+h$, figure out $p_n(n)$ and
$p_h(h)$.
Becasue $m_k=n+h$ and $p_z(z)=p_x(x)*p_y(y)$, I could derive that $p(m_k)=p(n+h)=p_n(n)*p_h(h)$.
$p(m_k)$ is a symmetrical triangular-shaped distribution, and, from wikipedia, it is the result of convolution of
two identical uniform distribution. Therefor, $p_n(n)$ and $p_h(h)$ can be two identical uniform distribution as:
(b) Use your conclusion from (a) to write a MATLAB code that
generates the sequence from Problem 1. Generate the sequence
100 (or more) times and based on these sequences, verify the