Math Problem Statement

the steps to how to solve on excel: If x has a normal distribution with a mean = 8 and standard deviation = 4, what is the probability of 3<= x <= 8?

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Normal Distribution
Cumulative Distribution Function

Formulas

Cumulative Distribution Function (CDF) for Normal Distribution: P(X <= x) = NORM.DIST(x, mean, standard_deviation, TRUE)
Probability for Range: P(a <= X <= b) = NORM.DIST(b, mean, standard_deviation, TRUE) - NORM.DIST(a, mean, standard_deviation, TRUE)

Theorems

Empirical Rule for Normal Distribution

Suitable Grade Level

Grades 11-12