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The Normal Distribution Curve Which Models, Distributions of Data in a Wide

question 66

Multiple Choice

The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function
$p ( x ) = \frac { 1 } { \sqrt { 2 \pi } } e ^ { - ( x - \mu ) ^ { 2 } / 2 \delta ^ { 2 } }$ where $\pi = 3.14159265 \ldots$ and $\sigma$ and $\mu$ are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. $The normal distribution curve which models, distributions of data in a wide range of applications, is given by the function p ( x ) = \frac { 1 } { \sqrt { 2 \pi } } e ^ { - ( x - \mu ) ^ { 2 } / 2 \delta ^ { 2 } } where \pi = 3.14159265 \ldots and \sigma and \mu are constants called the standard deviation and the mean, respectively. Its graph is shown in the figure. ? In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with \mu = 4.1 and \sigma = 1.2 . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by \int _ { a } ^ { b } p ( x ) d x Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 5 or higher. (Use the range 4.5 to 10.5.) Round your answer to the nearest whole number. A) 45% B) 46% C) 47% D) 48% E) 49%$ ?
In a survey, consumers were asked to rate a new toothpaste on a scale of 1-10. The resulting data are modeled by a normal distribution with $\mu = 4.1$ and $\sigma = 1.2$ . The percentage of consumers who gave the toothpaste a score between a and b on the section is given by $\int _ { a } ^ { b } p ( x ) d x$
Use a Riemann sum with n = 10 to estimate the percentage of customers who rated the toothpaste 5 or higher. (Use the range 4.5 to 10.5.) Round your answer to the nearest whole number.

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Definitions:

Turner Syndrome

A chromosomal disorder affecting females, characterized by the partial or complete loss of one of the X chromosomes, leading to developmental issues.

Polygenic Traits

Traits that are influenced by more than one gene, exhibiting a wide range of phenotypes.

Dominance

In genetics, the phenomenon where one allele masks the expression of another allele at the same locus.

Recessiveness

A term in genetics where a trait is not expressed in the presence of a dominant allele, requiring two copies of a recessive allele for expression.