Example 6.1Need Help?An automobile manufacturer has developed a new type of bumper, which is supposed to absorb impacts withless damage than previous bumpers. The manufacturer has used this bumper in a sequence of 25 controlledcrashes against a wall, each at 10 mph, using one of its compact car models. Let X = the number of crashes thatresult in no visible damage to the automobile. The ---Select---to be estimated is p = the ---Select--- Cof all such crashes that result in no damage [alternatively, p = P(no damage in a single crash)]. If X is observedto be x = 14, the most reasonable estimator and estimate areestimator pRead Itnestimate =Xn

Given that, an automobile manufacturer has developed a new type of bumper, which is supposed to absorb impacts with less damage than previous bumpers. The manufacturer has used this bumper in a sequence of 25 controlled crashes against a wall, each at 10 mph, using one of its compact car models. Let X = the number of crashes that result in no visible damage to the automobileX is observed to be X= 14.We are asked to estimate the probability that no damage crashes (p)We are given the estimator for p as,and the estimate as,The most reasonable estimate indicatesindicates that roughly 56% of crashes against the wall at 10 mph resulted in no visible damage to the automobile using the new bumper.