Answered: The life of Sunshine CD players is…

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

13.

The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for 3 years. We are interested in the length of time a CD player lasts.

Using the Normal Distribution or Inverse Normal Distribution calculator where appropriate fill in the blanks:

http://onlinestatbook.com/2/ calculators/normal_dist.html or http://onlinestatbook.com/ 2/calculators/inverse_normal_ dist.html

1) Find the probability that a CD player will break down during the guarantee period. Round To one decimal place where appropriate.

P(x< )=

2) Find the probability that a CD player will last between 2.8 and 6 years. Round to 2 decimal places.

P( < x < )=

3) Fill in the blanks:

Find k where k is the 70th percentile of the distribution for the time a CD player lasts.

(Round to one decimal place if necessary)

P( x < k )=

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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