In: Math
It is known that 5% of all laptops from a certain manufacturer have a certain defect.A random sample of 20 laptops from this manufacturer is selected.a)What is the probability that no laptops in the sample have defect?.b)What is the probabilty that exactly two laptops in the sample have defect?.c)What is the probabilty that atmost 2 laptops in the sample have the defect?.Let X denote the number of defective laptops in a sample .what is the expected value of X , E[X]?.and Laptops from this manufacturer are sold in batches of 12 and a batch is deemed to be unsatisfactory if it contains 2 or more laptops with defect.If 5 batches are selected at random ,what is the probability that at least 2 of them are deemed unsatisfactory?