Assume that in a five-trial experiment, the number of bulbs that will fuse after 150 days is .
The trials will be Bernoulli trials, as we can see, because they are made with replacement.
The fact that, as stated in the question,
Here, we can clearly observe that has a binomial representation with and
Thus, , where
(i) Probability of no such bulb in a random drawing of 5 bulbs
(ii) Probability of not more than one such bulb in a random drawing of 5 bulbs