Homework: assume that of all mathematicians with an English-language social media account, 1 in 16 is working with expectations on any given day, of which 1 in 1024 comes up with the above joke, of which 1 in 8 decides to post it on their social media, of which 1 in 2 actually do so. Assume the decision whether to post is a Bernoulli trial.
Write down the expectation of the number of times the joke has been or will be made this calendar week (as of this post) given your current information.
correct answer
E[ X | X ≥ 1 ], where X is a random variable of unknown distribution