A dealer's profit, in units of $2000, on a new automobile is a random variable X having the density function below. Complete parts (a) through (c) below. f(x) = 2 15(4-x), 0≤x≤3, 0, elsewhere (a) Find the variance of the dealer's profit. $ 2640000 (Type an integer or a decimal. Round to the nearest dollar as needed.) (b) Demonstrate that Chebyshev's theorem holds for k=1.88 with the provided density function. For k=1.88, Chebyshev's theorem states that P(. Chebyshev's theorem k = 1.88, since the probability is equal to (Type integers or decimals. Round to four decimal places as needed.) for

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%

I need help with parts b and c

c) what is the probability that the profit exceeds 1200$

A dealer's profit, in units of $2000, on a new automobile is a random variable X having the density function below.
Complete parts (a) through (c) below.
f(x) =
2
15(4-x), 0≤x≤3,
elsewhere
0,
(a) Find the variance of the dealer's profit.
$2640000
(Type an integer or a decimal. Round to the nearest dollar as needed.)
(b) Demonstrate that Chebyshev's theorem holds for k=1.88 with the provided density function.
For k=1.88, Chebyshev's theorem states that P(< X<². Chebyshev's theorem
k = 1.88, since the probability is equal to
(Type integers or decimals. Round to four decimal places as needed.)
for
Transcribed Image Text:A dealer's profit, in units of $2000, on a new automobile is a random variable X having the density function below. Complete parts (a) through (c) below. f(x) = 2 15(4-x), 0≤x≤3, elsewhere 0, (a) Find the variance of the dealer's profit. $2640000 (Type an integer or a decimal. Round to the nearest dollar as needed.) (b) Demonstrate that Chebyshev's theorem holds for k=1.88 with the provided density function. For k=1.88, Chebyshev's theorem states that P(< X<². Chebyshev's theorem k = 1.88, since the probability is equal to (Type integers or decimals. Round to four decimal places as needed.) for
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 7 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman