3. Let C So(x) = exp{-(A²+² +DDF-D)}; logD)}, Dx where A, B, C, D are positive. a. Show that the function So is a survival function. b. Derive a formula for Sz(t). c. Derive a formula for . log

Let Q be a continuous random variable with PDF [ 6q(1 – q) if 0 < q < 1 fq(4) otherwise This Q represents the probability of success of a Bernoulli random variable X, i.e., P(X = 1|Q = q) = q.

Let P=f(t)=600(1.033)t be the population of a community in year t. Evaluate f(10)

Which value of t is NOT in the domain of the function P(t)= 21/10t−17? t = ?