In a recent global study of daily intake of fruits and vegetables, participant responses were classified by region, gender, and age. As a result of this research, it was determined that the mean daily intake of fruits and vegetables for women aged 15 - 29 in sub region D of Africa is 180 grams with standard deviation 10 grams.
Suppose the distribution of daily fruit and vegetable intake for women in this age group and region is approximately normal, and suppose a woman in this age group and region is randomly selected:
a. What is the probability her daily intake of fruits and vegetables will be exactly 200 grams?
b. What is the probability her daily intake of fruits and vegetables will be between 160 and 200 grams?
c. Suppose the FDA has established 200 grams of fruits and vegetables as the minimum daily intake. What is the probability the woman selected will meet this minimum intake?