Question

In r-studio, given X=rpois(200,2). Generate a poisson probability histogram with lambda=2 and a relative frequency histogram of the sample on the same graph-------- //answer this only if youre familiar with R studio and know how to using it. not handwritten//

Answer 1

Here we use R-studio

#The R-code is

X=rpois(200,2)

Prob=dpois(0:8,2) #Probaility for Poisson

F=200*Prob # Expected Frequency

Y=rep(0:8,F)

c1=rgb(173,216,230,max = 255, alpha = 80, names = "lt.blue")#colour

c2=rgb(255,192,203, max = 255, alpha = 80, names = "lt.pink")#colour

hist(X,col=c1,breaks=7,freq=FALSE)

hist(Y,col=c2,add=T,breaks=7,freq=FALSE)

legend("topright",legend=c("Random numbers from Poisson 2","Poisson distribution with lambda=2"),fill=c(c1,c2))

#The output of the code is

>X=rpois(200,2)

>Prob=dpois(0:8,2) #Probaility for Poisson

>F=200*Prob # Expected Frequency

>Y=rep(0:8,F)

>c1=rgb(173,216,230,max = 255, alpha = 80, names = "lt.blue")#colour

>c2=rgb(255,192,203, max = 255, alpha = 80, names = "lt.pink")#colour

>hist(X,col=c1,breaks=7,freq=FALSE)

>hist(Y,col=c2,add=T,breaks=7,freq=FALSE)

>legend("topright",legend=c("Random numbers from Poisson 2","Poisson distribution with lambda=2"),fill=c(c1,c2))

#Here freq=FALSE for relative frequency