A normal population has mean μ = 39 and standard deviation σ = 10.(a) What proportion of the population is between 17 and 28?(b) What is the probability that a randomly chosen value will be between 35 and 45?Round the answers to at least four decimal places.Part 1 of 2 The proportion of the population between 17 and 28 is . Part 2 of 2 The probability that a randomly chosen value will be between 35 and 45 is

In statistics, a Z-score is a measure of how many standard deviations an element is from the mean.…

Answered: A normal population has mean μ =…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A normal population has mean

and standard deviation

(a) What proportion of the population is between

and

(b) What is the probability that a randomly chosen value will be between

and

Round the answers to at least four decimal places.

Part 1 of 2

The proportion of the population between

and

Part 2 of 2

The probability that a randomly chosen value will be between

and

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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