Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 33.8 and 3.5 mpg, respectively.What is the probability that a randomly selected passenger car gets more than 35 mpg?Note: Round your final answer to 4 decimal places. What is the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg?Note: Round your final answer to 4 decimal places. If four passenger cars are randomly selected, what is the probability that all of the passenger cars get more than 35 mpg?Note: Round your final answer to 4 decimal places.

Given information: The population mean is μ=33.8. The population standard deviation is σ=3.5. Let X…

Answered: uppose that the miles-per-gallon (mpg)…

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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Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 33.8 and 3.5 mpg, respectively.

What is the probability that a randomly selected passenger car gets more than 35 mpg?

Note: Round your final answer to 4 decimal places.
What is the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg?

Note: Round your final answer to 4 decimal places.
If four passenger cars are randomly selected, what is the probability that all of the passenger cars get more than 35 mpg?

Note: Round your final answer to 4 decimal places.

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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