A waitress believes the distribution of her tips has a model that is slightly skewed to the right, with a mean of $10.40 and a standard deviation of $4.10. She usually waits on about 60 parties over weekend of work. a) Estimate the probability that she will earn at least $700. b) How much does she earn on the best 1% of such weekends? a) P(tips from 60 parties > $700) =O (Round to four decimal places as needed.)

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
### Problem Statement:

A waitress believes the distribution of her tips has a model that is slightly skewed to the right, with a mean of $10.40 and a standard deviation of $4.10. She usually waits on about 60 parties over a weekend of work.

#### Questions:

a) Estimate the probability that she will earn at least $700.

b) How much does she earn on the best 1% of such weekends?

### Solution Steps:

- For part (a), calculate the probability that the sum of tips from 60 parties exceeds $700. You would typically use a statistical method or a normal approximation to find this probability because the total tip amount is a sum of a large number of independent, identically distributed random variables.

- For part (b), calculate the tip amount corresponding to the top 1% of weekends. This involves determining the 99th percentile of the total distribution of tips over the weekends the waitress waits on 60 parties.

### Answer for part (a):
- Use the placeholder to input the calculated probability, rounded to four decimal places.

\[ \text{a) P(tips from 60 parties > \$700) = } \boxed{\phantom{0}} \]

Please fill in the box with the appropriate probability calculation.
Transcribed Image Text:### Problem Statement: A waitress believes the distribution of her tips has a model that is slightly skewed to the right, with a mean of $10.40 and a standard deviation of $4.10. She usually waits on about 60 parties over a weekend of work. #### Questions: a) Estimate the probability that she will earn at least $700. b) How much does she earn on the best 1% of such weekends? ### Solution Steps: - For part (a), calculate the probability that the sum of tips from 60 parties exceeds $700. You would typically use a statistical method or a normal approximation to find this probability because the total tip amount is a sum of a large number of independent, identically distributed random variables. - For part (b), calculate the tip amount corresponding to the top 1% of weekends. This involves determining the 99th percentile of the total distribution of tips over the weekends the waitress waits on 60 parties. ### Answer for part (a): - Use the placeholder to input the calculated probability, rounded to four decimal places. \[ \text{a) P(tips from 60 parties > \$700) = } \boxed{\phantom{0}} \] Please fill in the box with the appropriate probability calculation.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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