The manufacturer of a tricycle for children has received complaints about defective: brakes in the product. According to the design of the product and considerable: preliminary testing, it had been determined that the probability of the kind of defect in the complaint was 1 in 10000 (i.e., .0001). After a thorough investigation of the complaints, it was determined that, during a certain period of time, 200 products were randomly chosen from production and 5 experienced defective brakes.

(a) Comment on the "1 in 10,000" claim by the manufacturer. Use a probabilistic argument. Use the binomial distribution for your calculations.

(b) Do the work using the Poisson approximation.