Question
In: Statistics and Probability
The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby...
The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a random variable X having a continuous uniform distribution with Aequals 9 and Bequals 12 . Find the probability that on a given day the amount of coffee dispensed by this machine will be (a) at most 11.1 liters; (b) more than 9.5 liters but less than 11.3 liters; (c) at least 10.5 liters.
Solutions
Expert Solution
X ~ U (9,12)
the pdf of the distribution is:-
a).the probability that on a given day the amount of coffee dispensed by this machine will be at most 11.1 liters is:-
b).the probability that on a given day the amount of coffee dispensed by this machine will be more than 9.5 liters but less than 11.3 liters is:-
c).the probability that on a given day the amount of coffee dispensed by this machine will be at least 10.5 liters is:-
*** if you have any doubts about the problem please mention it in the comment box... if satisfied please LIKE.
orchestra answered 1 year agoRelated Solutions
The amount of coffee dispensed by a drink vending machine is normally distributed with a mean...
The amount of coffee dispensed by a drink vending machine is
normally distributed with a mean of 12.1 oz. What is the
probability that a randomly selected cup of coffee has more than
12.8 oz? Assume that the standard deviation for all drink vending
machines is 0.38
A soft drink machine is regulated so that the amount of drink dispensed is approximately normally...
A soft drink machine is regulated so that the amount of drink
dispensed is approximately normally distributed with a standard
deviation equal to 1.5 deciliters. Find the 95% confidence interval
for the mean of all soft drinks dispensed by this machine if a
random sample of 36 drinks had an average content of 22.5
deciliters. What statistical table to be used? What is the tabular
value? What is the computed lower confidence limit? What is the
computed upper confidence limit?
The amount of corn chips dispensed into a 10-ounce bag by the dispensing machine has been...
The amount of corn chips dispensed into a 10-ounce bag by the
dispensing machine has been identified at possessing a normal
distribution with a mean of 10.5 ounces and a standard deviation of
0.2 ounces (these are the population parameters). Suppose a sample
of 100 bags of chips were randomly selected from this dispensing
machine. Find the probability that the sample mean weight of these
100 bags exceeded 10.6 ounces. (Hint: think of this in terms of a
sampling distribution...
The amount of corn chips dispensed into a 13-ounce bag by the dispensing machine has been...
The amount of corn chips dispensed into a 13-ounce bag by the
dispensing machine has been identified as possessing a normal
distribution with a mean of 13.5 ounces and a standard deviation of
0.4 ounces. Suppose 50 bags of chips were randomly selected from
this dispensing machine. Find the probability that the sample mean
weight of these 50 bags exceeded 13.6 ounces. Round to four decimal
places.
Suppose your favorite coffee machine offers 7 ounce cups of coffee. The actual amount of coffee...
Suppose your favorite coffee machine offers 7 ounce cups of
coffee. The actual amount of coffee put in the cup by the machine
varies according to a normal distribution, with mean equal to 8
ounces and standard deviation equal to .67 ounces
a. What percentage of cups will be filled with
more than 7.7 ounces?
b. What percentage of cups will have in between 7
and 8 ounces of coffee?
What types of costs are associated with a Stance™ sock vending machine located in an airport?...
What types of costs are associated with a Stance™ sock vending
machine located in an airport?
At Cleveland Hopkins International Airport in northeastern Ohio,
a vending machine that dispenses socks was recently installed.
Located in the C concourse, the Stance sock vending machine offers
a variety of what Stance refers to as “uncommon” socks. The designs
on the socks in the Cleveland airport vending machine include
Cleveland Browns, Cleveland Indians, patriotic flag designs,
Hawaiian tropical flowers, and others.
The machine...
Write a program that determines the change to be dispensed from a vending machine. An item...
Write a program that determines the change to be dispensed from
a vending machine. An item in the machine can cost between 25 cents
and 1 dollar, in 5-cents increments (25, 30, 35, . . . 90, 95, or
100), and the machine accepts only a single dollar bill to pay for
the item. (Explain with algorithms if you can please!)
A random sample of 36 cups of soda dispensed from the old soda machine in the...
A random sample of 36 cups of soda dispensed from the old soda
machine in the lobby had a mean amount of soda od 7 ounces. Assume
that the population standard deviation is 1 ounce. a. Find the best
point estimate of the amount of soda dispensed. b. Construct and
interpret a 95% confidence interval for the true population mean
amount of soda dispensed from the old soda machine in the
lobby.
A coffee manufacturer is interested in whether the mean daily consumption of regular- coffee drinkers is...
A coffee manufacturer is interested in whether the mean daily
consumption of regular- coffee drinkers is less than that of
decaffeinated coffee drinkers. Assume the population standard
deviation for those drinking regular coffee is 1.21 cups per day
and 1.40 for those drinking decaffeinated coffee. A random sample
of 54 regular coffee drinkers showed a mean of 4.59 cups per day. A
sample of 49 decaffeinated coffee drinkers showed a mean of 5.64
cups per day.
a) Is this a...
Cabin Fever Coffee is a local coffee bar located in Defiance, Ohio, and is striving for...
Cabin Fever Coffee is a local coffee bar located in Defiance,
Ohio, and is striving for consistent quality in their coffee
beverages served to guests. Guests often complain that their
beverage is not hot enough (lukewarm) or too hot and thus leave
unsatisfied. Management determines that the temperature of their
brewed coffee is approximately normally distributed with a mean of
102 degrees and a standard deviation of 5 degrees. Management has
also set a temperature of 96 degrees or lower...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- "Ethical Considerations" Please respond to the following: Reflect upon the responsibilities placed on auditors by the...
- A Japanese company has a bond outstanding that sells for 93 percent of its ¥100,000 par...
- What is the difference among the principles of modularization, abstraction, encapsulation, and separation of interface and...
- An investment project costs $20,100 and has annual cash flows of $4,400 for six years. ...
- PUT IN JAVA PROGRAMMING The StockB class: Design a class named StockB that contains the following...
- Draw a DFA for the following ( ∑ = {0,1}): Set of all strings with.
- In the article from Forbes notes that the goal of a leader is not to clone...
ADVERTISEMENT