1) A protective face-mask facility produces, on average, 1 defective mask out of every 50 masks...

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1) A protective face-mask facility produces, on average, 1 defective mask out of every 50 masks produced. Assuming that face-mask qualities are independent, a) [3] What is the probability that, out of the next 40 masks produced, no more than 2 will be defective? b) [2] What is the probability that the eleventh mask produced on any randomly selected day will be the first to be defective? c) [2] How many masks would you expect to have produced when the third defective mask is found? d) [3] The facility produces 100 masks each day. What is the probability that in only 2 of the next 5 days will defective masks be produced? 1) A protective face-mask facility produces, on average, 1 defective mask out of every 50 masks produced. Assuming that face-mask qualities are independent, a) [3] What is the probability that, out of the next 40 masks produced, no more than 2 will be defective? b) [2] What is the probability that the eleventh mask produced on any randomly selected day will be the first to be defective? c) [2] How many masks would you expect to have produced when the third defective mask is found? d) [3] The facility produces 100 masks each day. What is the probability that in only 2 of the next 5 days will defective masks be produced?