In the recent global study of daily intake of fruits and vegetables, participant responses were categorized by region, gender, and age. As the result of this research, it was determined that 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.
Assume the distribution of daily fruit and vegetable intake for women in this age group and region is approx normal, and assume the woman in this age group and region is randomly chosen:
a. Determine the probability her daily intake of fruits and vegetables will be exactly 200 grams?
b. Determine the probability her daily intake of fruits and vegetables will be between 160 and 200 grams?
c. Assume the FDA has established 200 grams of fruits and vegetables as minimum daily intake. Determine the probability woman selected will meet this minimum intake?