In: Statistics and Probability
Subscribers to a store’s coupon distribution list are each emailed a randomly generated discount code which consists of 4 letters followed by 3 digits (some customers may getthe same code). Most codes are for 25% off online shopping on Cyber Monday, but customers whose codes consist of all different letters and 3 digits in increasing order(e.g. MATH014) get 50% off instead.
What is the probability that a code will consist of all different letters and 3 digits in increasing order?
In a group of 10 subscribers, what is the probability that at least two subscribers will get 50% off?
In a group of 1000 subscribers, what is the expected value and standarddeviation for the number of subscribers who will get 50% off?