The needle used in a hypodermic syringe has to be produced according to very strict standards. As a result, approximately 1.6% of all the needles manufactured need to be discarded for defects and...

The needle used in a hypodermic syringe has to be produced according to very strict standards. As a result, approximately 1.6% of all the needles manufactured need to be discarded for defects and other imperfections. A batch of hypodermic needles contains 160 needles.

a. What is the probability that at least one of the needles in the batch will be defective?

b. How many needles are expected to be discarded due to imperfections?

c. What is the probability that exactly that many needles (as calculated in part (c)) in a batch will need to be discarded

a. P(At Least 1 Discarded) =

Round to 4 significant digits

b. Expected # of Needles Discarded =

Round to nearest whole number

c. P(Expected # of Needles Discarded) =

Round to 4 significant digits