A hint to get started
Find the largest sample meeting a strict probability bound
On average 1 in 100 light bulbs made by a factory is faulty. A sample contains n light bulbs and X counts the faulty bulbs. (i) State in context two assumptions needed for a binomial model. (ii) Require . Find the largest possible n.
CJC · Lecture · Example 4
State constant fault probability and independent bulb outcomes.
For no faulty bulbs the probability is 0.99ⁿ.
Use neighboring integers to justify the largest value.