Question: A soft drink machine dispenses soft drink into cups. Let the amount of liquid dispensed into a large drink (in ml) be given by the

A soft drink machine dispenses soft drink into cups. Let the amount of liquid dispensed into a large drink (in ml) be given by the random variable Y where Y ~ N(500, 10²).

A 510ml cup is used and the probability it overflows is 0.1587.

The manager wants to decrease the mean amount of liquid to a new value M, such that the probability of overflow is only 0.001. Find the correct value of M. (Show all working)

Step by Step Solution

★★★★★

3.54 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the mean value M such that the probability of overflow is only 0001 we need to calcul... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Apply the classification algorithm to the following set of data records. The class attribute is Repeat Customer. RID Age City Gender Education Repeat Customer 101 20..30 NY F 102 20.30 SF 103 31.40...

A soft drink machine dispenses only regular Coke and Diet Coke. Sixty percent of all purchases from this machine are diet drinks. The machine currently has 10 cans of each type. If 15 customers want...

A soft drink machine can be regulated to discharge an average of ounces per cup. If the ounces of fill are normally distributed, with standard deviation equal to .3 ounce, give the setting for so...

The file P20_11.xlsx contains data on the amount of liquid detergent (in ounces) placed in plastic containers by a particular filling process. Ideally, the filling process should place 100 ounces of...

Final Exam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) The average age of the students in a statistics class is 22...

Hi, please help with this. A soft drink machine dispenses soft drink into cups. Let the amount of liquid dispensed into a large drink (in ml) be given by the random variable Y where Y ~ N(600, 152)....

QUESTION 18 Let X = the number of flaws in a car paint job and assume X ~ Poi(1.37). If there are 10 freshly painted cars, what is the mean number of flaws (correct to 1 dp)? QUESTION 19 A soft drink...

Problem-12 A soft drink machine is regulated so that the amount of drink it dispenses follows a normal distribution with a known standard deviation of the drinks dispensed of 20 milliliters. A random...

1 Click Problem-2 Click Problem-3 Click Problem-4 Click Problem-5 Click Problem-6 Click Problem-7 Click Problem-8 Click Problem-9 Click Problem-10 Click Problem-11 The mean annual cost of automobile...

Let x be a normally distributed continuous random variable with a mean of 52 and a standard deviation of 7.5. Determine the value of x such that the area to the left of x is 0.0367. Round the...

I need help with problem 8. It's C programming. Write a program that will simulate a soft drink machine that dispenses four types of soft drinks. The program will accept character input only. The...

A heat pump with refrigerant-134a as the working fluid is used to keep a space at 25°C by absorbing heat from geothermal water that enters the evaporator at 50°C at a rate of 0.065 kg/s and...

How can the tripod pricing approach be helpful in establishing a good pricing point for a particular service?

How can mobile app marketing and text messaging be used to improve customer service and increase user engagement? What are some key tools, software applications, or services that support effective...

A vice president of marketing for your company has been charged with embezzling nearly $100,000 from the company. The vice president allegedly submitted fraudulent vendor invoices in order to receive...

John, Lesa, and Tabir form a limited liability company. John contributes 60 percent of the capital, and Lesa and Tabir each contribute 20 percent. Nothing is decided about how profits will be...

Paladin Parabolics Company produces high-quality microscopes for education and health care uses. The company uses a job order costing system. Because the microscopes' optics require significant...

The Anson Manufacturing Company reviewed its year-end inventory and found the following items. Indicate which items should be included in the inventory balance at December 31, 2011. Give your reasons...

There are seven forms of business: sole proprietorship, partnership, limited liability partnership, limited liability Company (including the single member LLC), S Corporation, Franchise, and...

Please provide executive summary , introduction and conclusion Section 1: Risk Assessment - Domino's Pizza Enterprises Ltd (FY2024) 1.1 Planning Materiality Planning materiality is a threshold used...

The article How Business Students Spend Their TimeDo They Really Know? (Research in Higher Education Journal [May 2009]: 110) describes a study of 212 business students at a large public university....

Consider the two relative frequency histograms at the top of the next page. The histogram on the left was constructed by selecting 100 different random samples of size 35 from a population in which...

The article Cops Get Screened for Digital Dirt (USA Today, Nov. 12, 2010) summarizes a report on law enforcement agency use of social media to screen applicants for employment. The report was based...

First USA, a major credit card company, is planning a new offer for their current cardholders. The offer will give double airline miles on purchases for the next 6 months if the cardholder goes...

St. Norbert's College in Green Bay, Wisconsin, and Wisconsin Public Radio conduct an annual poll of Wisconsinites about political opinions. The Fall 2011 survey asked a random sample of 402 adult...

As in Exercise 37, we hope to estimate the percentage of adults aged 25 to 30 who never graduated from high school. What sample size would allow us to increase our confidence level to 95% while...