Answered: Suppose that blood chloride…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Suppose that blood chloride concentration (mmol/L) has
a normal distribution with mean 104 and standard deviation
5 (information in the article “Mathematical Model
of Chloride Concentration in Human Blood,” J. of
Med. Engr. and Tech., 2006: 25–30, including a normal probability plot as described in Section 4.6, supports this
assumption).
a. What is the probability that chloride concentration
equals 105? Is less than 105? Is at most 105?
b. What is the probability that chloride concentration
differs from the mean by more than 1 standard
deviation? Does this probability depend on the
values of m and s?
c. How would you characterize the most extreme .1%
of chloride concentration values?

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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