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In: Statistics and Probability

Subscribers to a store’s coupon distribution list are each emailed a randomly generated discount code which...

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?

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