Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean of 114 and a standard deviation of 15. a) What proportion of patients have glucose levels exceeding 116? b) If a patient has a glucose level of 140, what percentile is this? c) What is the probability that the mean glucose level exceeds 118 in a sample of 14 patients? d) What glucose level would be the 75th percentile? e) What proportion of patients without diabetes will have a glucose level between 109 and 129?