IB Statistics and Probability Problem 015
A factory manufactures light bulbs. The probability that a light bulb is defective is \(0.05\). A random sample of \(30\) light bulbs is examined.
- Find the probability that there is at least one defective light bulb in the sample.
- Given that there is at least one defective light bulb in the sample, find the probability that there are at most two defective light bulbs.