Math Problem Statement

salin ulang kodenya

salin ulang kodenya

Solution

Certainly! Here is the code transcribed from the image:

r
ggplot(data=NULL, aes(x=factor(kelas_interval_weibull), y=jumlah_weibull, fill=rentang_weibull)) + geom_bar(stat="identity") + xlab("Kelas Interval") + ylab("Jumlah") + ggtitle("Grafik Frekuensi Batang") + geom_text(aes(y=jumlah_weibull/1.3, label=jumlah_weibull)) + theme(plot.title = element_text(size = 12, face = "bold", colour = "darkblue", vjust=3, hjust=0.5)) + labs(fill="Kelas Interval") + scale_fill_manual(values = c(heat.colors(length(jumlah_weibull)))) y_weibull <- dweibull(x_weibull, shape=3, scale=0.5) plot(x_weibull, y_weibull, col="red") curve(dweibull(x, shape=3, scale=0.5), xlim = c(-1,2), col="blue") curve(dweibull(x, shape=3, scale=0.5), xlim = c(0,1), col="blue", ylim=c(0,10)) curve(dweibull(x, shape=2, scale=0.5), xlim = c(0,1), col="blue", ylim=c(0,10)) curve(dweibull(x, shape=3, scale=1.0), xlim = c(0,1), col="blue", ylim=c(0,10)) curve(dweibull(x, shape=3, scale=2.0), xlim = c(0,1), col="orange", add=TRUE, ylim=c(0,10)) curve(dweibull(x, shape=3, scale=3.0), xlim = c(0,1), col="orange", add=TRUE, ylim=c(0,10)) curve(dweibull(x, shape=3, scale=5.0), xlim = c(0,1), col="orange", add=TRUE, ylim=c(0,10)) curve(dweibull(x, shape=5, scale=1.0), xlim = c(0,1), col="green", add=TRUE, ylim=c(0,10)) curve(dweibull(x, shape=5, scale=2.0), xlim = c(0,1), col="green", add=TRUE, ylim=c(0,10)) curve(dweibull(x, shape=5, scale=3.0), xlim = c(0,1), col="green", add=TRUE, ylim=c(0,10)) curve(dweibull(x, shape=5, scale=5.0), xlim = c(0,1), col="green", add=TRUE, ylim=c(0,10)) curve(dweibull(x, shape=3, scale=0.5), xlim = c(0,3), col="blue", ylim=c(0,3)) curve(dweibull(x, shape=3, scale=1.0), xlim = c(0,3), col="blue", ylim=c(0,3)) curve(dweibull(x, shape=3, scale=2.0), xlim = c(0,3), col="blue", add=TRUE, ylim=c(0,3)) curve(dweibull(x, shape=3, scale=3.0), xlim = c(0,3), col="orange", add=TRUE, ylim=c(0,3)) curve(dweibull(x, shape=3, scale=5.0), xlim = c(0,3), col="orange", add=TRUE, ylim=c(0,3)) curve(dweibull(x, shape=5, scale=1.0), xlim = c(0,3), col="green", add=TRUE, ylim=c(0,3)) curve(dweibull(x, shape=5, scale=2.0), xlim = c(0,3), col="green", add=TRUE, ylim=c(0,3)) curve(dweibull(x, shape=5, scale=3.0), xlim = c(0,3), col="green", add=TRUE, ylim=c(0,3)) curve(dweibull(x, shape=5, scale=5.0), xlim = c(0,3), col="green", add=TRUE, ylim=c(0,3))

Do you want details or have any questions? Here are five related questions to expand on this information:

  1. What is the purpose of using dweibull in this code?
  2. How does changing the shape and scale parameters affect the Weibull distribution?
  3. Can you explain the significance of geom_text in the ggplot code?
  4. What does the scale_fill_manual function do in this ggplot setup?
  5. How would you modify the code to plot the distributions in a single subplot instead of multiple ones?

Tip: When working with multiple curves on the same plot, using distinct colors and adding a legend can help in differentiating the curves more clearly.

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Math Problem Analysis

Mathematical Concepts

Probability Distributions
Weibull Distribution
Data Visualization

Formulas

Weibull Probability Density Function: f(x; k, λ) = (k/λ) * (x/λ)^(k-1) * exp(-(x/λ)^k)

Theorems

Weibull Distribution Properties

Suitable Grade Level

Undergraduate Level