From 250f16c59a102d0ee211a35b183eb655f2c8a778 Mon Sep 17 00:00:00 2001
From: Heiner Atze <49794000+kantundpeterpan@users.noreply.github.com>
Date: Thu, 7 Apr 2022 17:21:15 +0200
Subject: [PATCH 1/2] Update exp-mode.md

---
 P/exp-mode.md | 11 ++++++++---
 1 file changed, 8 insertions(+), 3 deletions(-)

diff --git a/P/exp-mode.md b/P/exp-mode.md
index e9ba21ad..4d2628ca 100644
--- a/P/exp-mode.md
+++ b/P/exp-mode.md
@@ -7,6 +7,11 @@ affiliation: "BCCN Berlin"
 e_mail: "joram.soch@bccn-berlin.de"
 date: 2020-02-12 15:53:00
 
+author: "Heiner Atze"
+affiliation: NA
+e_mail: "heiner.atze@gmx.net"
+date: 2022-04-07 17:16
+
 title: "Mode of the exponential distribution"
 chapter: "Probability Distributions"
 section: "Univariate continuous distributions"
@@ -54,17 +59,17 @@ $$
 Since
 
 $$ \label{eq:exp-pdf-eq0}
-\lim_{x \to 0} f_X(x) = \infty
+f_X(0) = \lambda
 $$
 
 and
 
 $$ \label{eq:exp-pdf-neq0}
-f_X(x) < \infty \quad \text{for any} \quad x \neq 0 \; ,
+e^{-lambda x} < 0 \quad \text{for any} \quad x > 0 \; ,
 $$
 
 it follows that
 
 $$ \label{eq:exp-mode-qed}
 \mathrm{mode}(X) = 0 \; .
-$$
\ No newline at end of file
+$$

From fa45a17cc501754fa97b28d2b8bbe662632cd378 Mon Sep 17 00:00:00 2001
From: Heiner Atze <49794000+kantundpeterpan@users.noreply.github.com>
Date: Thu, 7 Apr 2022 17:42:06 +0200
Subject: [PATCH 2/2] Update exp-mode.md

---
 P/exp-mode.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/P/exp-mode.md b/P/exp-mode.md
index 4d2628ca..6cf5e63d 100644
--- a/P/exp-mode.md
+++ b/P/exp-mode.md
@@ -65,7 +65,7 @@ $$
 and
 
 $$ \label{eq:exp-pdf-neq0}
-e^{-lambda x} < 0 \quad \text{for any} \quad x > 0 \; ,
+0 < e^{-lambda x} < 1 \quad \text{for any} \quad x > 0 \; ,
 $$
 
 it follows that