Answered: Use integration to solve, not…

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

(a) What is the probability that an adult male chosen at random is between 66 and 72 inches tall? (Round your answer to three decimal places.)

(b) What percentage of the adult male population is more than 6 feet tall? (Round your answer to one decimal place.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step 1: Write the given information.

According to the National Health Survey, the heights of adult males in the United States are normally distributed with mean 69.0 inches and standard deviation 2.8 inches.

The probability distribution function of a normal distribution is given as:

$\begin{aligned} f (x) & = \frac{1}{σ \sqrt{2 π}} e^{\frac{- (x - μ)^{2}}{2 σ^{2}}} \\ x is & the random variable \\ μ is & the population mean \\ σ is & the standard deviation \end{aligned}$