For a 200x300 matrix with ratings from 1 to 5, generate missing entries where ratings of value 1 or 2 are three times more likely to be missing than ratings of 3 or 4. Ratings of 5 will have a missing rate of 0%. To do so, use random variates from a binomial distribution, where the probability of "success" is adjusted for each rating value such that the overall missing rate is 5%.

Provide python code make sure that the function is parameterized for overall missing rate