Random Variables Distribution

Bob has negotiated a deal with the vendor that an overall defect rate of 5% is acceptable. If more than 5% of the pots on a given skid are defective, Mamba Corporation does not have to pay for that shipment. If the defects are greater than 5%, that shipment is returned (at the shipper's expense). There's a possibility of an increase in demand and therefore production.Will we need more glass pots?

If 12 samples of product are randomly selected and tested, what is the probability of the following:

1. Exactly one samples are defective

2. Between two and five inclusive are defective

3. Less than three are defective