It is known that 5% of all laptops from a certain manufacturerhave a certain defect.A random sample of 20 laptops from thismanufacturer is selected.a)What is the probability that no laptopsin the sample have defect?.b)What is the probabilty that exactlytwo laptops in the sample have defect?.c)What is the probabiltythat atmost 2 laptops in the sample have the defect?.Let X denotethe number of defective laptops in a sample .what is the expectedvalue of X , E[X]?.and Laptops from this manufacturer are sold inbatches of 12 and a batch is deemed to be unsatisfactory if itcontains 2 or more laptops with defect.If 5 batches are selected atrandom ,what is the probability that at least 2 of them are deemedunsatisfactory?
