A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries at these stores with a standard deviation of $22. Assume that the expenses incurred on groceries by all such customers at these stores are normally distributed. What percentage of customers paying by check spend between $59.94 and $114.06 on groceries? Round your answer to two decimal places. % of customers paying by check spend between $59.94 and $114.06 on groceries.
A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries at these stores with a standard deviation of $22. Assume that the expenses incurred on groceries by all such customers at these stores are normally distributed. What percentage of customers paying by check spend between $59.94 and $114.06 on groceries? Round your answer to two decimal places. % of customers paying by check spend between $59.94 and $114.06 on groceries.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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![Certainly! Here is a transcription of the image for educational purposes:
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**1. Answer the following questions:**
A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries at these stores with a standard deviation of $22. Assume that the expenses incurred on groceries by all such customers at these stores are normally distributed. What percentage of customers paying by check spend between $59.94 and $114.06 on groceries?
Round your answer to two decimal places.
- **% of customers paying by check spend between $59.94 and $114.06 on groceries:** [Input box]
---
At Jen and Perry Ice Cream Company, the machine that fills 1-pound cartons of Top Flavor ice cream is set to dispense 16 ounces of ice cream into every carton. However, some cartons contain slightly less than and some contain slightly more than 16 ounces of ice cream. The amounts of ice cream in all such cartons have a normal distribution with a mean of 16 ounces and a standard deviation of 0.41 ounces. Find the probability that a randomly selected carton contains 16.055 to 16.174 ounces of ice cream.
Round your answer to four decimal places.
- **P =** [Input box]
---
Two companies, **A** and **B**, drill wells in a rural area. Company **A** charges a flat fee of 3669 dollars to drill a well regardless of its depth. Company **B** charges 985 dollars plus 9 dollars per foot to drill a well. The depths of wells drilled in this area have a normal distribution with a mean of 250 feet and a standard deviation of 45 feet. Find the probability that Company **B** would charge more than Company **A** to drill a well.
Round your answer to four decimal places.
- **P =** [Input box]
---
The amount of time taken by a bank teller to serve a randomly selected customer has a normal distribution with a mean of 2 minutes and a standard deviation of 0.5 minutes. Find the probability that at least one of four randomly selected customers will need more than 2.25 minutes to be served.
Round your answer to four decimal places.
- **P =** [Input box]
---
Note: Icons labeled with "i" and an exclamation mark indicate areas where users likely access additional information or help regarding the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb3b9bba-00e1-4d71-97c7-f81f90965c27%2Ff5dfbaf9-440e-403d-a46c-2d9897d79360%2Ftwokkyp_processed.png&w=3840&q=75)
Transcribed Image Text:Certainly! Here is a transcription of the image for educational purposes:
---
**1. Answer the following questions:**
A company that has a large number of supermarket grocery stores claims that customers who pay by personal checks spend an average of $87 on groceries at these stores with a standard deviation of $22. Assume that the expenses incurred on groceries by all such customers at these stores are normally distributed. What percentage of customers paying by check spend between $59.94 and $114.06 on groceries?
Round your answer to two decimal places.
- **% of customers paying by check spend between $59.94 and $114.06 on groceries:** [Input box]
---
At Jen and Perry Ice Cream Company, the machine that fills 1-pound cartons of Top Flavor ice cream is set to dispense 16 ounces of ice cream into every carton. However, some cartons contain slightly less than and some contain slightly more than 16 ounces of ice cream. The amounts of ice cream in all such cartons have a normal distribution with a mean of 16 ounces and a standard deviation of 0.41 ounces. Find the probability that a randomly selected carton contains 16.055 to 16.174 ounces of ice cream.
Round your answer to four decimal places.
- **P =** [Input box]
---
Two companies, **A** and **B**, drill wells in a rural area. Company **A** charges a flat fee of 3669 dollars to drill a well regardless of its depth. Company **B** charges 985 dollars plus 9 dollars per foot to drill a well. The depths of wells drilled in this area have a normal distribution with a mean of 250 feet and a standard deviation of 45 feet. Find the probability that Company **B** would charge more than Company **A** to drill a well.
Round your answer to four decimal places.
- **P =** [Input box]
---
The amount of time taken by a bank teller to serve a randomly selected customer has a normal distribution with a mean of 2 minutes and a standard deviation of 0.5 minutes. Find the probability that at least one of four randomly selected customers will need more than 2.25 minutes to be served.
Round your answer to four decimal places.
- **P =** [Input box]
---
Note: Icons labeled with "i" and an exclamation mark indicate areas where users likely access additional information or help regarding the problem.
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