A mail order business sends packages to its customers. In the clutches of logistics company Losti Group Oyj (formerly Shitella Group), packages can be lost (probability 0.04) or broken (probability 0.10) independently of each other.

c) We will send 100 packages, which will be processed in the post office independently of each other. Let X be the number of packages that arrive intact. What is the distribution of X, the expected value E[X] and the variance Var[X]?