Question

Use Rstudio to compare the cdf and pdf of an exponential random variable with rate λ=2λ=2...

Use Rstudio to compare the cdf and pdf of an exponential random variable with rate λ=2λ=2 with the cdf and pdf of an exponential random variable with rate 1/2.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The PDF and CDF of exponential random variable is plotted below.

The R code below.

lamda <- 2
plot(1:1)
dev.new()
curve(dexp(x,rate = lamda), xlim=c(0,4), xlab="x", ylab="PDF & CDF", main="Exponential distribution",lwd=2, col = "blue")
curve(pexp(x,rate = lamda), xlim=c(0,4), lwd=2, col = "red", add=TRUE)

The PDF and CDF of exponential random variable is plotted below.

The R code below.

lamda <- 1/2
plot(1:1)
dev.new()
curve(dexp(x,rate = lamda), ylim=c(0,1.2),xlim=c(0,8), xlab="x", ylab="PDF & CDF", main="Exponential distribution",lwd=2, col = "blue")
curve(pexp(x,rate = lamda), xlim=c(0,8), lwd=2, col = "red", add=TRUE)

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