Let denote the proportion of patients with ulcers who are cured using a newly developed drug, assuming a Bernoulli model holds. Suppose the value of is unknown. Two researchers, Leonard and Sheldon, assign different prior distributions to .

Leonard assigns ₁() = 1, for 0<<1

Sheldon assigns ₂() = 4³, for 0<<1

Explain what Leonard's and Sheldon's choices of prior indicate about their beliefs of the likely values of .