A vending machine located in a local office dispenses coffee that varies from 7.4 to 8.2 ounces.

Question:

A vending machine located in a local office dispenses coffee that varies from 7.4 to 8.2 ounces. The volume of coffee dispensed follows a continuous uniform distribution.

a. Calculate the value of f1x2.

b. What are the mean and standard deviation for this distribution?

c. What is the probability that the next cup of coffee will contain more than 8.0 ounces of coffee?

d. What is the probability that the next cup of coffee will contain exactly 7.5 ounces of coffee?

e. What is the probability that the next cup of coffee will contain less than 8.1 ounces of coffee?

f. What is the probability that the next cup of coffee will contain between 7.5 and 8.0 ounces of coffee?

g. What volume represents the 15th percentile of this distribution?

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Somshukla Chakraborty

I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal. I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).

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