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Find the inverse cdfs of the beta distributions in Problem 2.4.24(b) through (d) Problem 2.4.24…

Find the inverse cdfs of the beta distributions in Problem 2.4.24(b) through (d)

Problem 2.4.24 Beta(α,b)  distribution) The beta function is the function B Find the inverse cdfs of the beta distributions in Problem 2.4.24(b) through (d) Problem 2.4.24... given by

Find the inverse cdfs of the beta distributions in Problem 2.4.24(b) through (d) Problem 2.4.24...

It can be proved (see Challenge 2.4.25) that

Find the inverse cdfs of the beta distributions in Problem 2.4.24(b) through (d) Problem 2.4.24...

(a) Prove that the function f given by Find the inverse cdfs of the beta distributions in Problem 2.4.24(b) through (d) Problem 2.4.24... x

(b) Determine and plot the density when a=1b= 1 Can you name this distribution?

(c) Determine and plot the density when a = 2b = 1

(d) Determine and plot the density when a = 1b = 2

(e) Determine and plot the density when a =2b = 2