Suppose that a company produces snow globes 24 hours a day, 7 days a week. Furthermore, suppose that some of the snow globes are defective and the average number of defective snow globes produced per day is a gamma random variable with parameters 4 and λ=2. If the defective globes are produced according to a Poisson process, find the probability density function of the average number of defective snow globes after a week.

Question

Quizplus · Accepted Answer

The Answer of Suppose that a company produces snow globes 24 hours a day, 7 days a week. Furthermore, suppose that some of the snow globes are defective and the average number of defective snow globes produced per day is a gamma random variable with parameters 4 and λ=2. If the defective globes are produced according to a Poisson process, find the probability density function of the average number of defective snow globes after a week.

Suppose That a Company Produces Snow Globes 24 Hours a Day