Answered: ppose the monthly charges for cell…

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

Suppose the monthly charges for cell phone plans are normally distributed with mean

μ=$59

and standard deviation

σ=$17.

(a) Draw a normal curve with the parameters labeled.

(b) Shade the region that represents the proportion of plans that charge

less

than

$42.

left

X=$42

is 0.1587. Provide an interpretation of this result.

(a) Choose the correct graph below.

255993X

A normal curve has a horizontal axis labeled "X" with three labeled coordinates, 25, 59, and 93. The curve's peak is near the top of the graph at horizontal coordinate 59. Three vertical line segments run from the horizontal axis to the curve at horizontal coordinates 25, 59, and 93.

425976X

A normal curve has a horizontal axis labeled "X" with three labeled coordinates, 42, 59, and 76. The curve's peak is near the top of the graph at horizontal coordinate 59. Three vertical line segments run from the horizontal axis to the curve at horizontal coordinates 42, 59, and 76.

597693X

A normal curve has a horizontal axis labeled "X" with three labeled coordinates, 59, 76, and 93. The curve's peak is near the top of the graph at horizontal coordinate 76. Three vertical line segments run from the horizontal axis to the curve at horizontal coordinates 59, 76, and 93.

254259X

A normal curve has a horizontal axis labeled "X" with three labeled coordinates, 25, 42, and 59. The curve's peak is near the top of the graph at horizontal coordinate 42. Three vertical line segments run from the horizontal axis to the curve at horizontal coordinates 25, 42, and 59.

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.

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