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--- b:head_first_statistics:geometric_binomial_and_poisson_distributions [2024/10/28 07:45] – [Exercise] hkimscil
+++ b:head_first_statistics:geometric_binomial_and_poisson_distributions [2024/10/28 08:37] (current) – [Broken Cookies case] hkimscil
@@ Line 1190: / Line 1190: @@
 **How did Kate find the probability so quickly, and avoid the error on her calculator?**
 </WRAP>
+우선 위의 문제를 binomial distribution 문제로 생각하면 답은
+\begin{eqnarray*}
+P(r=15) & = & _{100}C_{15} * 0.1^{15} * 0.99^{85}\\
+\end{eqnarray*}
+라고 볼 수 있다.
 \begin{eqnarray}
@@ Line 1227: / Line 1232: @@
 b(100, 0.1)이므로
 n*p = 10 = lambda
-따라서
+따라서 Pois 분포로 보는 답은
+lambda = 10 일때 P(r=15)값을 구하는 문제로
+\begin{eqnarray*}
+P(r = 15) & = & e^{-10} * \frac {10^{15}}{15!} \\
+& = & 0.0347180
+\end{eqnarray*}
 <code>
 > dpois(x=15, lambda=10)