Answered: Suppose that amount of (8-ounce size)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Problem 1:

Suppose that amount of (8-ounce size) servings of water Americans drink daily on average is 4.6 with standard deviation of 1.4 servings and that population is assumed to be normally distributed.

a) If two Americans are chosen at random from the population, find the probability that both of these Americans selected amount of daily servings (8-ounce) of water will be less than 3 servings.
Answer must contain the following as shown in class examples:
Denote

Full graphical representation as complete as shown in applicable class example(s)

full calculator syntax and also include any additional math (if needed) before including the answer rounded to nearest thousandth.

b) If three Americans are chosen at random from the population, find the probability that their mean amount of daily servings of water will be less than 3 servings.

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 + ...

Expert Solution