統計学実践ワークブックの行間埋め　第32章

\begin{eqnarray} P(I=1) &=& \int P(I=1|X=x)g(x)dx \\ \\ &=& \int P(U\leq r)g(x)dx \\ \\ &=& \int P(U\leq \frac{l(x)}{Mg(x)})g(x)dx \\ \\ &=& \int P(U\leq \frac{cf(x)}{Mg(x)})g(x)dx \\ \\ &=& \int \frac{cf(x)}{Mg(x)}g(x)dx \\ \\ &=& \int \frac{cf(x)}{M}dx \\ \\ &=& \frac{c}{M}\int f(x)dx \\ \\ &=& \frac{c}{M} \\ \\ \end{eqnarray}