Answer to Question #30344 in Statistics and Probability for Joe Meria

Question

A marketing department is planning to demonstrate this new phone to a group of potential customers, but is worried about some initial technical problems which have resulted in 0.1% of all phones malfunctioning. The marketing executive is planning on randomly selecting 100 phones for use in the demonstration but is worried because it is important that every single one functions OK during the demonstration. The executive believes that whether or not any one phone malfunctions is independent of whether or not any other phone malfunctions and is convinced that the probability that any one phone will malfunction is definitely 0.001. Assuming the marketing executive randomly selects 100 phones for use in the demonstration:

(a) What is the probability that no phones will malfunction? [If you use any probability distribution/s, you are required justify the requirements for particular distributions are satisfied]