a) The following Table lists the probability distribution of a discrete random variable x: 1 2 4| 5 Р(x) | 0.19 0.32 0.24 * 0.06 0.03 (i) Calculate the expected value (mean), variance and the standard deviation of the probability distribution. b) Eighty percent (80%) of lecturers will be able to obtain a parking space at a university car park. If there are 275 lecturers with vehicles on campus each day, what is the probability that at least 215 lecturers will obtain a parking space on a given day? Use a suitable approximation in your response.

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
a) The following Table lists the probability distribution of a discrete random variable x:
1
3
4
P(x) | 0.19
0.32
0.24
*
0.06
0.03
(i) Calculate the expected value (mean), variance and the standard deviation of the
probability distribution.
b) Eighty percent (80%) of lecturers will be able to obtain a parking space at a university
car park. If there are 275 lecturers with vehicles on campus each day, what is the
probability that at least 215 lecturers will obtain a parking space on a given day? Use
a suitable approximation in your response.
Transcribed Image Text:a) The following Table lists the probability distribution of a discrete random variable x: 1 3 4 P(x) | 0.19 0.32 0.24 * 0.06 0.03 (i) Calculate the expected value (mean), variance and the standard deviation of the probability distribution. b) Eighty percent (80%) of lecturers will be able to obtain a parking space at a university car park. If there are 275 lecturers with vehicles on campus each day, what is the probability that at least 215 lecturers will obtain a parking space on a given day? Use a suitable approximation in your response.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Similar 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