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server.R

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+library(shiny)
+
+shinyServer(function(input, output) 
+{
+  
+  output$grafico1 <- renderPlot({
+    curve(dexp(x, rate=input$rate),
+          from=0, to=input$x_max, ylab="Density",
+          las=1, lwd=3, col="deepskyblue3")
+    grid()
+  })
+  
+  output$med_var <- renderText({
+    esperanza <- 1/input$rate
+    varianza <- 1/input$rate^2
+    paste(c("For this configuration E(X) =", round(esperanza, 2),
+            "and Var(X) =", round(varianza, 2)))
+  })
+  
+})

ui.R

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+library(shiny)
+
+shinyUI(fluidPage(
+  
+  # Application title
+  titlePanel(HTML("Exponential distribution (λ)")),
+  
+  sidebarLayout(
+    sidebarPanel(
+      HTML("Modify the parameter value and observe what happens with the density plot"),
+      br(),
+      br(),
+      sliderInput(inputId = "rate",
+                  label = HTML("Enter the value of the rate parameter λ: "),
+                  min = 0.1,
+                  max = 50,
+                  value = 1.7,
+                  step= 0.1,
+                  animate = TRUE),
+      numericInput(inputId = "x_max",
+                  label = "Enter the maximum value of x to display on the graph:",
+                  min = 1,
+                  max = 300,
+                  value = 9,
+                  step = 1),
+      br(),
+      p("App created by Semillero de R at Universidad Nacional de Colombia:"),
+      tags$a(href="https://srunal.github.io", "https://srunal.github.io")
+    ),
+    
+    # Show a plot of the generated distribution
+    mainPanel(
+      h3("Density plot", align = "center"),
+      plotOutput("grafico1"),
+      verbatimTextOutput('med_var')
+    )
+  )
+))