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Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during...

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Statistics

Sheila's doctor is concerned that she may suffer fromgestational diabetes (high blood glucose levels during pregnancy).There is variation both in the actual glucose level and in theblood test that measures the level. A patient is classified ashaving gestational diabetes if the glucose level is above 140miligrams per deciliter (mg/dl) one hour after having a sugarydrink. Sheila's measured glucose level one hour after the sugarydrink varies according to the Normal distribution with μ μ = 130mg/dl and σ σ = 15 mg/dl. (a) If a single glucose measurement ismade, what is the probability that Sheila is diagnosed as havinggestational diabetes? (b) If measurements are made on 5 separatedays and the mean result is compared with the criterion 140 mg/dl,what is the probability that Sheila is diagnosed as havinggestational diabetes?

please show me your process . Thank you

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