In the augmented-reality game Pokemon GO, players catch virtual monsters on their phones. Each monster has a unique height and weight, which is drawn randomly from a normal distribution specific to that Pokemon species. Some players poked around in the game's data to discover the following parameters for a Pokemon species called Mewtwo. (5 points)

height_m: 2 # mean height in meters

weight_kg: 122 # mean weight in kilograms

height_std_dev: 0.25 # sd of height in meters

weight_std_dev: 15.25 # sd of weight in kilograms

1. Is the mean height found in the code or ? Is the standard deviation of weight found in the code or s? How do you know?
2. One player catches a Mewtwo that is 2.21m tall. What percentile does it fall into?
3. How tall would a Mewtwo have to be in order to be shorter than 95% of all Mewtwos? [Hint: what percentile would this be?]
4. How heavy is a Mewtwo that falls at the 80th percentile on weight?
5. If you consider "the middle 90%" to be unexceptional, how light or how heavy would a Mewtwo have to be in order to be deemed exceptional in terms of its weight?

Please answer these questions as soon as possible.

Thank you for your time!