calculate the probability that at least one of them is still good after 100 hours. If $p = 0.3,$ how many bulbs would be needed on each pole to ensure 99% safety that at least one is good after 100 hours?

Part 1: A bulb an either glow or burn out so it is problem of binomial distribution. Let X denotes number of bulbs burning out in the first 100 hours of service.

P = Probability of burning out in the first $100$ hours of service $= 0.3$

$$q = 1 …