1. Suppose that the amount X dispensed by a beverage-dispensing machine has a uniform probability distribution on [a, b] (in Ounces).(a) Given a and b, find x0 such that P(X

1. Suppose that the amount X dispensed by a beverage-dispensing machine has a uniform probability distribution on [a, b] (in Ounces). (a) Given a and b, find x0 such that P(X < μ+x0)="0.90," where="" μ="E[X]." (b)given="" an="" i.i.d.="" sample="" x1,="" .="" .="" .="" ,="" x200,="" explain="" how="" to="" estimate="" θ="b" −="" a.="" is="" the="" proposed="" estimator="">