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The AMS 311 exam will test students on some of the 50 key facts about probability; Joe will randomly pick 10 of the 50 facts to put on the exam.
The AMS 311 exam will test students on some of the 50 key facts about probability; Joe will randomly pick 10 of the 50 facts to put on the exam. Each student gets to pick 6 of the 10 to state and explain. Bob is trying to decide how many facts he should study to prepare for the exam. Bob studies k of the facts (where k is an integer between 0 and 50). Let X be the number of AMS 311 facts appearing on the exam that Bob has studied. What is the distribution of X? (If it is a named distributions, give the name and the parameter(s), in terms of k, and some justification.)
