A study conducted by the quality assurance department at a ball point pen factory found that 5% of the pens produced are defective. Each hour the team samples 10 pens.
1) Find the mean number of pens expected to be defective. (Exact value)
2) Find the standard deviation of this binomial distribution. (Round to 3 decimal places as needed).
3) Find the probability that exactly 1 pen will be found defective. (Round to 3 decimal places as needed).
4) Find the probability that 2 or fewer pens will be found defective. (Round to 3 decimal places as needed).