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) What is the probability that, out of the next 40 masks produced, no more than 2 will be defective?

b) What is the probability that the eleventh mask produced on any randomly selected day will be the first to be defective?

c) How many masks would you expect to have produced when the third defective mask is found?

d) 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?