Binomial Distribution problem

In a lot of 50 light bulbs, there are 2 defective. An inspector examines 5 bulbs, which are selected at random without replacement.

(a) Find the probability that there is at least 1 defective among the 5 chosen.
(b) How many bulbs should the inspector examine so that the probability of finding at least 1 defective is more than 0.5?


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