Frank is a champion fish charmer who can charm fish with 0.62 probability of success. if he attempts to charm 100 fish, what's the probability he'll charm between 60 and 80 inclusive? solve using two methods: normal approximation without the continuity correction, and normal approximation with the continuity correction.

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.