Rose hips are known to be an excellent source of ascorbic acid (vitamin C). A study finds that the ascorbic acid content of sweet-brier rose (Rosa rubiginosa) hips are normally distributed, with an average ascorbic acid content of 783 mg/100g of hip pulp, and a standard deviation of 90 mg/100g.

(a) What is the probability that a random sweet-brier rose hip will have an ascorbic acid content greater than 800 mg/100g?

(b) What is the probability that a random sweet-brier rose hip will have an ascorbic acid content between 700 mg/100g and 750 mg/100g?

(c) An agriculturist wants to selectively breed sweet-brier roses with very high ascorbic acid content. In particular, they want to select roses with the highest 8% of ascorbic acid content. What ascorbic content in sweet-brier rose hips characterizes this top 8%? Give your answer in mg/100g.