Rebecca's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels associated with pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is diagnosed with gestational diabetes if their glucose level is above 140 milligrams per deciliter (mg/dI) one hour following a sugary drink being ingested. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the normal distribution with mu = 125 mg/dI and standard deviation = 10 mg/dI. Answer the following questions. Show all work. State reasons for your procedure. a) If a single glucose measurement is made, what is the probability that Rebecca is diagnosed with gestational diabetes? b) If measurements are made instead on four separate days and the mean result is computed, describe the center, shape and spread of the resulting sampling distribution. Simply use correct notation and explain your reasons. c) If the sample mean of Rebecca's four readings is compared with the criterion 140 mg/dI, what is the probability that Rebecca is diagnosed as having gestational diabetes