Question: Using R: Let's sum twenty independent exponential random variables: rate

Using R:

Let's sum twenty independent exponential random variables:

rate<-0.1

n<-1000

variablesCount<-20

x<-list()

sum<-rep(0, n)

for (i in 1:variablesCount) {

x[[i]] <- rexp(n, rate)

sum<- sum+x[[i]]

}

Fir the sum obtained above with a gamma distribution. What is the shape parameter of the resulting gamma distribution?

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