Diabetes during pregnancy. Sheilas doctor is concerned

Chapter , Problem 5.25

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Diabetes during pregnancy. Sheilas doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the results of the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Sheilas measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with m 125 mg/dl and s 10 mg/dl. (a) If a single glucose measurement is made, what is the probability that Sheila is diagnosed as having gestational diabetes? (b) If measurements are made instead on three separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Sheila is diagnosed as having gestational diabetes?