This is a probability distribution question involving binomial, geometric, negative binomial, hypergeometric, or poisson distribution, etc.

As long as final answer is right, I will mark answer as helpful. Thank you!

The Public Citizen's Health Research Group studied the serious disciplinary actions that were taken during a recent year on nonfederal medical doctors in the us. The American average was 3.84 serious actions per 1,000 doctors. Assume that the Canadian average is the same; moreover, assume that the number of serious actions per 1,000 doctors is Poisson distributed. iii) Assume that British Columbia has an average of 1.6 serious actions per 1,000 doctors. What is the probability of randomly selecting 3,000 British Columbia doctors and nding fewer than seven serious actions taken? Your nal answer must be a number. Please round it to 4 decimal places. Thanks