Suppose there are 1 million parts which have 1% defective parts i.e 1 million parts have 10000 defective parts. Now suppose we are taking different sample sizes from 1 million like 10%, 30%, 50%, 70%, 90% of 1 million parts and we need to calculate the probability of finding maximum 5000 defective parts from these sample sizes. As 1 million parts has 1% defective parts so value of success p is 0.01 and failure q is 0.99. Now the issue is when we r calculating probability of sample sizes below 50% of 1 million parts, value of probability for finding ≤ 5000 defective parts is always 0, at 50% of 1 million parts it is 0.5 and sample sizes of more than 50% give probability equal to 1. It means we only get three probability values in all sample sizes i.e 0, 0.5, 1. Now the issue is that there are no intermediate values between 0-0.5 or 0.5-1 although sample size is changing linearly. Can someone plz mention the issue in this problem. I will be very grateful