of a 3. Based on years teaching assistant has cars in the drive-throu X f(x) 0 .005 (a) Sketch the probabi (b) Find the probabilit (c) Compute the expec (d) Compute the varia

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
Please show how to do, b), c), d).
3. Based on years of a mild caffeine addiction and a very keen sense of observation, your
teaching assistant has determined the probability distribution function of x, the number
cars in the drive-through line at 8:00 am to be as follows:
X
2
3
f(x)
.310
.340
0
.005
1
.025
4
.220
5
.080
(a) Sketch the probability density function for X.
(b) Find the probability that on a given day more than 3 cars will be in line.
(c) Compute the expected value of the random variable X. Interpret this result.
(d) Compute the variance and standard deviation of X.
6
.020
Transcribed Image Text:3. Based on years of a mild caffeine addiction and a very keen sense of observation, your teaching assistant has determined the probability distribution function of x, the number cars in the drive-through line at 8:00 am to be as follows: X 2 3 f(x) .310 .340 0 .005 1 .025 4 .220 5 .080 (a) Sketch the probability density function for X. (b) Find the probability that on a given day more than 3 cars will be in line. (c) Compute the expected value of the random variable X. Interpret this result. (d) Compute the variance and standard deviation of X. 6 .020
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
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