The useful life X of a particular kind of machine is a random variable with density function

Question:

where x is the number of years a randomly selected machine stays in use.

a. Find the probability that a randomly selected machine will be useful for more than 4 years.

b. Find the probability that a randomly selected machine will be useful for less than 5 years.

c. Find the probability that a randomly selected machine will be useful between 4 and 6 years.

d. What is the expected useful life of the machine?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

See More Books

Question Posted: Jun 22, 2023 12:27 AM

See More Questions

Formularium Management III Kevin Denis June 18, 2014 Use at own risk. Part I Inventory Control 1 Known demand (p198) 1.1 Basic EOQ model (p210) Assumptions: 1. Demand is xed at units per unit time....
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
Use the table below to find: (fog)(-10) = (fof) (11) = X -10 f(x) -1 g(x) 4 -1 -7 -4 -7 11 (gof)(-4)= (gog)(7) = 4 7 15 4 7 -4 11 -4 15 7 -1 15 -10 -7 -10 11
The _________ is a checklist that is best suited for property and tangible asset tracking. Perils analysis Industry list List of assets The activity list
Find the Code section that explains the amount of the penalty for failure to include reportable transaction information with the return. How much is that penalty?
A partial bond amortization schedule follows for Hwee Corporation: Instructions (a) Fill in the missing amounts for items [1] to [7]. (b) What is the face value of the bonds? (c) Were the bonds...
Gilead is a large drug producer, with a majority of its prescription drug product sales occurring in the United States. Gilead produces anti-HIV drug therapies, including the drugs Atripla, Truvada,...
Grover Corp. is a manufacturing company that produces golf clubs. Birdie is a division of Grover that manufactures putters. Birdies putters are used in Grovers golf club sets and are sold to other...
A 3.0-cm tall object is 55 cm in front of a diverging mirror that has a -20 cm focal length. Part A Calculate the image position. Input a positive value if the image is on the same side from the...
Use the table of integrals (Table 6.1) to find the integrals in Exercises 27 through 38. dx x(5 + 2x)
The life span of the lightbulbs manufactured by a certain company is measured by a random variable X with probability density function where x denotes the life span (in hours) of a randomly selected...
Breeze beverage company manufacturing soft drinks, information about two products is as follows: It is known that both products have the same direct materials and direct labor costs per case. Breeze...
One way to align management's interest with that of shareholders' is: Multiple Choice giving profit-based bonus. allowing management to focus on firms' annual performance. granting stock options to...
Overview: Students are required to research an article available from the website CYC-Net or from specific journals in the college library, that address or discuss behavioral issues in the field of...
Hypothetical 1 - Benz owns an apartment building. In Unit A, Tai signed a one-year lease (03/01/21-03/30/22) 18 months earlier which called for monthly payments of $1,500 due on the 1st of each...
1. For the classifications given, name any of the rule(s) violated: essential principle, consistent principle, mutually exclusive, jointly exhaustive. ( briefly explain each violation you establish )...
Module 06 Assignment Directions Your t-shirt business has achieved great success. Now that the company's executive leaders are considering expanding into foreign markets to sell additional t-shirts,...
The Federal Bureau of Prisons publishes data in Prison Statistics on the times served by prisoners released from federal institutions for the first time. Independent random samples of released...
Use this circle graph to answer following Exercises. 1. What fraction of areas maintained by the National Park Service are designated as National Recreation Areas? 2. What fraction of areas...
1. Use linear-regression methods to assess whether plasma-carotene levels increase over the 12-week period. Use appropriate data transformations if necessary. Perform separate analyses for each of...
Compute the intra-class correlation coefficient between replicate plasma beta-carotene blood samples at baseline. Provide a 95% CI about this estimate. Perform the analysis based on the entire data...
1. Fit a regression line relating serum creatinine to time for each person in each of the high-NAPAP group, the low-NAPAP group, and the control group. How do you interpret the slope and intercept...
Patrick just finished designing a process improvement plan. To ensure that it is going to be successful, he embedded a step in the plan for a designated staff member to periodically verify that the...
how would you order if you have forecasted demand mean and standard deviation of the forecasted demand? and what is the meaning of forecasted demand minus standard deviation of the demand ? how to...
Reflect on a time you have seen language interfere with a message either at work, school or in your personal life. How might a change in the formality, simplicity, or reduction in redundancy have...

The useful life X of a particular kind of machine is a random variable with density function

Question:

3 f(x) = 28 0 + 3 if 3 ≤ x ≤ 7 otherwise

Step by Step Answer:

a b c d Px 4 x dx S...View the full answer

Calculus For Business, Economics And The Social And Life Sciences

Students also viewed these Mathematics questions