Determine the normalizing constant zl- use bayes rule to

Question

Consider the one-sided conditional exponential distribution

where l > 0 and Z(l) is the normalizing constant required to make the area under fX(x|l) equal unity

a. Determine the normalizing constant Z(l).

b. Given N independent values of x, namely x₁, x₂, ¼, x_N, use Bayes' rule to formulate the conditional probability density function of the parameter l, given this data set.