Question

A beer machine is regulated so that it discharges an average of 330 milliliters per glass. If the amount of beer discharged is normally distributed with a standard deviation equal to 5 milliliters,

(a) what fraction of the glasses will contain more than 336 milliliters?

(b) what is the probability that a glass contains between 320 and 340 milliliters?

(c) how many cups do you expect to overflow if 336-milliter glasses are used for the next 1000 drinks? (

d) below what value do we get the smallest 20% of the beers?

Answer #1

A soft-drink machine is regulated so that it discharges an average of 250 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 20 milliliters,
a) What fraction of the cups will contain more than 264 milliliters?
b) How many cups will probably overflow if 270-milliliter cups are used for the next eight thousand drinks?
c) Above what value do we get the largest 28% drinks?

A machine discharges an average of 250 milliliters per cup with
standard deviation of 17 milliliters.
a) What percentage of cups will contain more than 260
milliliters?
b) Between what volumes do the middle 75% of cups fall?
c) If the cups have a maximum capacity of 275 milliliters,
approximately how many of the next 1000 cups filled will
overflow.

A soft-drink machine is regulated so that it discharges an
average of 6.6 ounces per cup. The amount of drink is normally
distributed with a standard deviation equal to 0.5 ounces.
Part 1: (3 points ) What is the probability that a
cup will contain more than 7.54 ounces?
Part 2: (3 points ) What is the probability that a cup
contains between 6.54 and 7.06 ounces?
Part 3: (4 points ) Suppose we want to regulate this machine so
that only...

A soft drink machine discharges an average of 345 ml per cup.
The amount of drink is normally distributed with standard deviation
of 30 ml. What fraction of cups will contain more than 376 ml?
(Keep 4 decimals)

A bottling machine can be regulated so that it discharges an
average of ounces per bottle. It
has been observed that the amount of fill (Y) dispensed by the
machine is normally distributed with sigma = 1 ounce. If
Y1, Y2, ..., Y16 is a random sample from the output of the machine
on a given day (all bottled with the same machine setting). (a)
What is the mean of barY? i.e. ยต = ? (b) What is the standard...

Show ALL work neatly, Need it ASAP, Will UPVOTE for sure
A soft-drink machine is regulated so that it discharges an
average of 6.5 ounces per cup. The amount of drink is normally
distributed with a standard deviation equal to 0.6 ounces,
Part 1: (3 points ) What is the probability
that a cup will contain more than 7.45 ounces?
Part 2: (3 points ) What is the probability
that a cup contains between 6.45 and 7.06 ounces?
Part 3: (4 points ) Suppose...

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