(a)[3]
Find the probability that more than 1 firework fails to work.
(b)[4]
Calculate the expected profit for the company.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
A company staged a fireworks display made up of 20 fireworks. For each firework, the chance that it does not work is $0.05$, independently of the others. Each of the 20 fireworks costs the company $24$. 450 people pay the company $10$ each to watch the display. If more than 1 firework fails to work they get their money back.