Question

Last year I bought a string of 25 Christmas lights. Unfortunately, my string of lights stopped working after only 50 hours of use. The manufacturer says that the entire string stops working if two or more bulbs burn out but claims that only 3% of bulbs burn out within 50 hours. Did I get a defective string of lights or could this have occurred by random chance? Design and conduct a simulation (do 20 runs) to estimate the probability that a string of 25 bulbs will go out within 50 hours (assuming the manufacturers' claims are correct).

Answer 1

Here is the R code for simulation:

Please let me know if you have any doubt regarding the solution