HRT Intern

Construct the optimal unbiased estimator for some random variable p', where p' is the probability that 5 i.i.d. RV p all fail together For each day, the probability of a machine failing is p. Estimate the probability p' of 5 of these machines failing on the same day. Define a program that takes in an string representing d days of data from one machine, and outputs the optimal unbiased estimation for p', where "optimal" means the estimator has the minimum variance among all valid unbiased estimators.