Diabetes Physicians recommend that children with type-1 (insulin dependent) diabetes keep up with their insulin shots to minimize the chance of long-term complications. In addition, some diabetes researchers have observed that growth rate of weight during adolescence among diabetic patients is affected by level of compliance with insulin therapy. Suppose 12-year-old type-I diabetic boys who comply with their insulin shots have a weight gain over 1 year that is normally distributed, with mean 13 lbs and variance 13 lbs. (Assume for parts (a) and (b) that weight can be measured exactly and no continuity correction is necessary. Round your answers to four decimal places.) LAUSE SALT (a) What is the probability that compliant type-I diabetic 12 year-old boys will gain at least 17 lbs over 1 year? -0.1080 x (b) Conversely, 12-year-old type-1 diabetic boys who do not take their insulin shots have a weight gain over 1 year that is normally distributed with mean = 7 lbs and variance 13 lbs. Answer the question in part (a) for noncompliant type-I diabetic 12-year-old boys. (c) It is generally assumed that 75% of type-I diabetics comply with their insulin regimen. Suppose that a 12-year-old type-I diabetic boy comes to clinic and shows a 4-lb. weight gain over 1 year (actually, because of measurement error, assume this is an actual weight gain from 3.5 to 4.5 lbs.). The boy claims to be taking his insulin medication. What is the probability that he is telling the truth?
Diabetes Physicians recommend that children with type-1 (insulin dependent) diabetes keep up with their insulin shots to minimize the chance of long-term complications. In addition, some diabetes researchers have observed that growth rate of weight during adolescence among diabetic patients is affected by level of compliance with insulin therapy. Suppose 12-year-old type-I diabetic boys who comply with their insulin shots have a weight gain over 1 year that is normally distributed, with mean 13 lbs and variance 13 lbs. (Assume for parts (a) and (b) that weight can be measured exactly and no continuity correction is necessary. Round your answers to four decimal places.) LAUSE SALT (a) What is the probability that compliant type-I diabetic 12 year-old boys will gain at least 17 lbs over 1 year? -0.1080 x (b) Conversely, 12-year-old type-1 diabetic boys who do not take their insulin shots have a weight gain over 1 year that is normally distributed with mean = 7 lbs and variance 13 lbs. Answer the question in part (a) for noncompliant type-I diabetic 12-year-old boys. (c) It is generally assumed that 75% of type-I diabetics comply with their insulin regimen. Suppose that a 12-year-old type-I diabetic boy comes to clinic and shows a 4-lb. weight gain over 1 year (actually, because of measurement error, assume this is an actual weight gain from 3.5 to 4.5 lbs.). The boy claims to be taking his insulin medication. What is the probability that he is telling the truth?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Transcribed Image Text:Diabetes
Physicians recommend that children with type-I (insulin dependent) diabetes keep up with their insulin shots to minimize the chance of long-term complications. In addition, some diabetes researchers have observed that growth rate of weight during adolescence among diabetic patients is affected
by level of compliance with insulin therapy. Suppose 12-year-old type-I diabetic boys who comply with their insulin shots have a weight gain over 1 year that is normally distributed, with mean = 13 lbs and variance = 13 lbs. (Assume for parts (a) and (b) that weight can be measured exactly and no
continuity correction is necessary. Round your answers to four decimal places.)
USE SALT
(a) What is the probability that compliant type-I diabetic 12 year-old boys will gain at least 17 lbs over 1 year?
X
(b) Conversely, 12-year-old type-I diabetic boys who do not take their insulin shots have a weight gain over 1 year that normally distributed with mean = 7 lbs and variance = 13 lbs. Answer the question in part (a) for noncompliant type-I diabetic 12-year-old boys.
(c) It is generally assumed that 75% of type-I diabetics comply with their insulin regimen. Suppose that a 12-year-old type-I diabetic boy comes to clinic and shows a 4-lb. weight gain over 1 year (actually, because of measurement error, assume this is an actual weight gain from 3.5 to 4.5 lbs.).
The boy claims to be taking his insulin medication. What is the probability that he is telling the truth?
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