(Solved): The number of coating blemishes in 10-square-meter rolls of customized wallpaper is a Poisson random ...

The number of coating blemishes in 10-square-meter rolls of customized wallpaper is a Poisson random variable X1 with λ1 = 0.3. The number of printing blemishes in these 10-square-meter rolls of customized wallpaper is a Poisson random variable X2 with λ2 = 0.1. Assume that X1 and X2 are independent and let T = X1 + X2. a) According to what distribution is the random variable T distributed? b) What is the most probable total number of blemishes in a roll? b) If rolls with a total of two or more blemishes are scrapped, what is the probability that a roll will be scrapped? c) What are the mean and standard deviation of the probability distri- bution of T? 3. There are three surviving memb