Question

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)

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 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...

9. Let X ~ N(186; 16). Find:
(a) P(X <= 215)
(b) P(140 < X < 197)
(c) The first quartile for X
(d) The third quartile for X
(e) the IQR for X
(f) P(|X-186|> 35)
10. A soft drink machine discharges an average of 325 ml per
cup. The amount of drink is normally distributed with standard
deviation of 21 ml. What fraction of cups will contain more than
366 ml? (Keep 4 decimals)

A soft drink machine dispenses a cup, syrup and carbonated
water, hopefully in that order! The total amount of syrup and water
dispensed is normally distributed with mean 100 ?? and standard
deviation of 5 ??.
a) If 25 drinks are dispensed in a day, what are the mean and
standard deviation of the average amount of liquid (syrup and
water) that are required?
b) Identify the shape of the sampling distribution of ?̅.
c) A cup can hold maximum...

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 outputs a mean of 28 ounces per cup. The
machine's output is normally distributed with a standard deviation
of 3 ounces. What is the probability of filling a cup between 30
and 32 ounces? Round your answer to four decimal places.

A vending machine automatically pours soft drinks into cups. The
amount of soft drink dispensed into a cup is normally distributed
with a mean of 7.6 ounces and standard deviation of 0.4 ounce.
Examine the figure below and answer the following questions. (a)
Estimate the probability that the machine will overflow an 8-ounce
cup. (Round your answer to two decimal places.) (b) Estimate the
probability that the machine will not overflow an 8-ounce cup.
(Round your answer to two decimal...

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...

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)...

A vending machine is designed to discharge at least 275mL of
drink per cup on average. A number of customers complain that this
is not the case and they are getting less than this amount. In
response to the complaints, a random sample of 30 cups is taken in
order to conduct an appropriate hypothesis test for the population
mean, using a 5% level of significance. (Note: Assume that the
population standard deviation is 14mL.)
Calculate the probability of Type...

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