Math Problem Statement
Some sources report that the weights of full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 1.2 pounds and are Normally distributed. a. What is the probability that one newborn baby will have a weight within 1.2 pounds of the meanlong dashthat is, between 7.8 and 10.2 pounds, or within one standard deviation of the mean?
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Normal Distribution
Z-scores
Formulas
z = (x - μ) / σ
P(-1 ≤ z ≤ 1) ≈ 0.6826
Theorems
68-95-99.7 Rule (Empirical Rule)
Suitable Grade Level
Grades 10-12
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