(b) Match the probability plots below with the appropriate description. No justi

Question

(b) Match the probability plots below with the appropriate description. No justification asked. (A) Order statistics of Gamma (4, 2) density on y-axis, versus Normal(2, 1) quantiles on x-axis. Plot ____ (B) Order statistics of the "triangular" density f(x) = {1 + x for -1 lessthanorequalto x 1 on y-axis, versus Uniform (-1, 1) quantiles on x-axis. Plot _____ (C) Order statistics of a Uniform (0, 1) density on y-axis, versus Exponential (1) quantiles on x-axis. Plot _____ (D) Order statistics of a Normal (2, 9) density on y-axis, versus Normal (1, 4) quantiles on x-axis. Plot _____

Explanation / Answer

ANSWER

A) plot 3

B) plot 1

C) plot2

D) plot 4

you can verify this on R software by obtaining random sample from each distribution and for obtaining oredr statistics and quantile arrang them by using sort command.

programm is like

A)

y=rgamma(100,4,2)

x=rnorm(100,2,1)

Y=sort(y)

X=sort(x)

plot(X,Y)

C)

y=runif(100,0,1)

x=rexp(100,1)

Y=sort(y)

X=sort(x)

plot(X,Y)

D)

y=rnorm(100,2,9)

x=rnorm(100,1,4)

Y=sort(y)

X=sort(x)

plot(X,Y,"l")

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