Some companies monitor quality by using a method of acceptance sampling whereby an entire batch of items is rejected if, in a random sample, the number of defects is at least some predetermined number. The Macker Machine Company buys machine bolts in batches of 5000 and rejects a batch if, when 50 of them are sampled, at least 2 defects are found. Estimate the probability of rejecting a batch if the supplier is manufacturing the bolts with a defect rate of 10%. Is this monitoring plan likely to identify the unacceptable rate of defects? Explain.