Assuming the fasting blood glucose level among diabetics is normally distributed with mean 106 mg / 100 ml and standard deviation 10 mg / 100 ml. (a) What is the probability that a randomly selected diabetic will have a fasting glucose level more than 116 mg / 100 ml? (b) What is the probability that the fasting blood glucose level of a randomly selected diabetic will be between 96 and 121 mg / 100 ml? (c) For what value

Assuming the fasting blood glucose level among diabetics is normally distributed with mean 106 mg / 100 ml and standard deviation 10 mg / 100 ml. (a) What is the probability that a randomly selected diabetic will have a fasting glucose level more than 116 mg / 100 ml? (b) What is the probability that the fasting blood glucose level of a randomly selected diabetic will be between 96 and 121 mg / 100 ml? (c) For what value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Assuming the fasting blood glucose level among diabetics is normally distributed with mean 106 mg / 100 ml and standard deviation 10 mg / 100 ml.

(a) What is the probability that a randomly selected diabetic will have a fasting glucose level more than 116 mg / 100 ml?
(b) What is the probability that the fasting blood glucose level of a randomly selected diabetic will be between 96 and 121 mg / 100 ml?
(c) For what value of c will 24.2% of diabetics have a fasting blood glucose level of less than c mg / 100 ml?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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