Question: A machine is set to pump cleanser into a process at a rate of 6 gallons per minute. Upon inspection, it is learned that the

A machine is set to pump cleanser into a process at a rate of 6 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval of 5.5 to 8.5 gallons per minute. Find the probability that between 6 and 7 gallons are pumped during a randomly selected minute.

Step by Step Solution

★★★★★

3.38 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Define the continuous pandom variable x as X The amount of clea... 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!

At Farmers Dairy, a machine is set to fill 32-ounce milk cartons. However, this machine does not put exactly 32 ounces of milk into each carton; the amount varies slightly from carton to carton but...

A machine is set to cut metal plates to a length of 44.350 mm. The lengths of a random sample of 24 metal plates have a sample mean of x- = 44.364 mm and a sample standard deviation of .v = 0.019 mm....

In a large population, 61% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal...

MATH1127: Introduction to Statistics (Asynchronous (100% Online)) 20337 ...Chapter 5: Continuous Uniform Distributions Chapter 5: Uniform Chapter 5: Uniform Distribution Score: 5.71/20 1/4 answered...

Compute z-score. Round your answer to two decimal places. 1. Given X~N(69, 3.1), find z-score when x=69. Solve the problem. 2. Assume that z scores are normally distributed with a mean of 0 and a...

Looking for some help with this word problem and any help on how to calculate it on a ti-84 plus. Thanks. Next question Get a similar question A bus comes by every 9 minutes. The times from when a...

A bus comes by every 15 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 15 minutes. A person arrives at the bus stop at a...

The amount of time taken by a bank teller to serve a randomly selected customer has a normal distribution with a mean of 2 minutes and a standard deviation of .5 minute. a. What is the probability...

35 Questions: 1 A population consists of the following data: 7, 11, 12, 18, 20, 22, 25. The population variance is a. 6.07 b. 36.82 c. 5.16 d. 22.86 2 A fair die is rolled. If it comes up 1 or 2 you...

Organization that are moving to PaaS will have ____

If you are a small business and have machinery valued at $28,000, land valued at $52,000, $14,000 in cash and a 10 year loan debt of $75,000, what is owners equity?:

QUESTIONONE For anyone considering doing business in Uganda, think ROKO. ROKO ConstructionLimited was founded in 1969 and is today one of Uganda's leading Construction andCivilEngineeringGroups....

Lotric Co. produces suction plates for toddlers. The plan for the next period is as follows: Sale of 9,000 plates in January, February, and March, and the same number of plates is expected for April...

The following tableliststheconcentration of E. coli bacteria( C , mg/L) at any given time ( t , min) in a swimming area. Time, t (min) 0 4 8 12 16 20 24 28 Concentration, C (mg/L) 0 2.5 3.2 3.4 3.5...

Vulnerability scanning can be a critically important step to ensure a network is secure. For a penetration tester, are there any risks to conducing vulnerability scanning. What liabilities or...

In January, Sunland Company requisitions raw materials for production as follows: Job 1 $860, Job 2 $1,100, Job 3 $630, and general factory use $550. Prepare a summary journal entry to record raw...

The Adjusted Trial Balance columns of a 10-column work sheet for Webber Co. follow. Complete the work sheet by extending the account balances into the appropriate financial statement columns and by...

The manufacturer of a certain brand of light bulbs claims that the variance of the lives of these bulbs is 4200 square hours. A consumer agency took a random sample of 25 such bulbs and tested them....

Consider H0: = 100 versus H1: 100. a. A random sample of 64 observations produced a sample mean of 98. Using = .01, would you reject the null hypothesis? The population standard deviation is...

The range, as a measure of spread, has the disadvantage of being influenced by outliers. Illustrate this with an example.

8.38. Answer true or false for the following. Explain your answer. (a) Even when the sample conditional distributions in a contingency table are only slightly different, when the sample size is very...

8.36. Shortly before a gubernatorial election, a poll asks a random sample of 50 potential voters the following questions: Do you consider yourself to be a Democrat (D). a Republican (R), or...

8.43. Construct a 3 x 3 table for each of the following conditions: (a) Gamma equals 1. {Hint: There should be no discordant pairs.) (b) Gamma equals-1. (c) Gamma equals 0.