1.Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation in both the actual glucose level and blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter (mg/dL) one hour after a sugary drink is ingested. Assume that Sheila's measured glucose level one hour after ingesting the sugary drink varies according to the normal distribution with mg/dL and mg/dL.

(1)(2 points)If a single glucose measurement is taken, what is the probability that Sheila will be diagnosed as having gestational diabetes?(Use R to determine the probability)

(2)(3 points)If measurements are taken instead on three separate occasions and the mean result of the three measurements is compared with the criterion 140 mg/dL to determine whether Sheila has gestational diabetes, what is the probability that Sheila is diagnosed as having gestational diabetes? (Use R to determine the probability)