Answered: s recently introduced to the market…

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 new hybrid was recently introduced to the market distance trouble on 1 L of fuel is normally distributed with a mean of 28 km and a standard deviation of 2 km find the probability that a car will travel more than 31.16 km one litre of fuel

Expert Solution

Step 1

Here it is given that-

Mean ( $μ)$ = 28

Standard deviation ( $σ)$ = 2

Let X be a random variable which denotes the distance travelled by hybrid. X follows normal distribution.

X $~ N (28, 2^{2})$

So,

Z = $\frac{X - 28}{2} ~ N (0, 1)$

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