In the receiving inspection department, lots of pump shafts are periodically received. Each lot contains 100 units and the following acceptance sampling plan is used:
- A random sample of 5 units is selected without replacement
- The lot is accepted if the sample has no more than one defective
Suppose a lot is received and it has a 3% defective, i.e. there are only 3 defectives in the lot of 100 units. What is the probability that it will be accepted? Please write the mathematical equation for the probability of acceptance, and then calculate the probability.