A manufacturer produces lightbulbs at a Poisson rate of 204

A manufacturer produces lightbulbs at a Poisson rate of 204 per hour.
The probability that a lightbulb is defective is 0.015.
During production, light bulbs are tested one by one, and defective bulbs are put in a special can which holds 27 bulbs.
On average, how long does it take until the can is filled?

Solution

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars.

A manufacturer produces lightbulbs at a Poisson rate of 250 per hour.
The probability that a lightbulb is defective is 0.009.
During production, light bulbs are tested one by one, and defective bulbs are put in a special can which holds 27 bulbs.
On average, how long does it take until the can is filled?

Answer

probability that a bulb is defective = 0.009

Number of defective bulbs required = 27

Expected number of bulbs to be tested = 27/0.009 = 3000

250 bulbs arrive in 1 hour

=> 3000 bulbs arrive in 3000/250 hrs = 12 hrs