Suppose that the battery failure time, measured in hours, has a probability density function given by f(x) 2 (x 1) 3 for x 0 and f (x) 0 for x 0 a)Show that the given function is a density function b)Find the probability that the battery fails before 10 hours

The Answer is in the image, click to view ...

Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Jul 05, 2024

Suppose that the battery failure time, measured in hours, has a probability density function given by f(x) = 2 /(x + 1) 3 for x

Suppose that the battery failure time, measured in hours, has a probability density function given by

f(x) = 2 /(x + 1)³ for x 0 and

f (x) = 0 for x < 0

a)Show that the given function is a density function?

b)Find the probability that the battery fails before 10 hours?

Step by Step Solution

There are 3 Steps involved in it

Step: 1

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

Step: 3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Linear Algebra Step By Step

Authors: Kuldeep Singh

1st Edition

0191507768, 9780191507762

More Books

Students also viewed these Mathematics questions

Question

★★★★★

Free economies use open markets to allocate resources. Required Identify the three participants in a free business market. Write a brief memo explaining how these participants interact to ensure that...

Answered: 1 week ago

Question

★★★★★

This exercise should be used in conjunction with Exercises 1-36B through 1-38B. The owner of Carson Copy Center now seeks your advice as to whether he should cease operations or continue the...

Answered: 1 week ago

Question

★★★★★

=+e) A dogs intelligence can be judged roughly by how many times a new command must be repeated until it is learned. A researcher trained several dogs of each of 4 different breeds, teaching them 3...

Answered: 1 week ago

Question

★★★★★

Given the following balance sheet, income statement, historical ratios and industry averages, calculate the Pulp, Paper, and Paperboard, Inc. financial ratios for the most recent year. Analyze its...

Answered: 1 week ago

Question

★★★★★

A living trust is a trust put into effect prior to the death of the creator of the trust. You can keep the surface rights of your real property but still sell the rights of ownership to the...

Answered: 1 week ago

Question

★★★★★

Exercise 8.2 The Alpenrose Milk Company reported the following transactions which affected its merchandise inventory during the month of March: March 1 March 8 March 14 March 18 March 25 Inventory on...

Answered: 1 week ago

Question

★★★★★

a. Based on the data provided in the case (e.g., Table 2), what is the approximate level of planned plant efficiency (i.e., total SAM output planned per month, relative to total minutes of all...

Answered: 1 week ago

Question

★★★★★

2. 1072 college students were classified according to their intelligence and economic conditions. Test whethre there is any association between intelligence and economic conditions: Economic...

Answered: 1 week ago

Question

★★★★★

4. Relation between F and R. In our notes, we claim that F has an alternative expression (SSRR - SSRU)/#r F SSRU/(n - K) 1 ermitted where SSRR is the sum squared residuals from the restricted...

Answered: 1 week ago

Question

★★★★★

Why must crime scene notes be taken in pen in a hard-bound notebook? (note: there may be more then 1 correct answer) a. The lead from a pencil can be poisonous b. Spiral bound notebooks are just not...

Answered: 1 week ago

Question

★★★★★

The 20 kg block is subjected to a force of F 580 N acting at an angle of 35 and a force of F2 = 410 N acting in the negative x direction = while in contact with a smooth surface. Assume the box can...

Answered: 1 week ago

Question

★★★★★

2. In this chapter, the reader should reflect on the following concepts: Linear relationships, circular relationships, patterns, critical variables and sociological laws.

Answered: 1 week ago

Question

★★★★★

2. As your starting point, take a situation at your workplace that often recurs, and answer the following questions: (a) Which elements are included? (b) How are the elements related to each other?...

Answered: 1 week ago

Question

★★★★★

A greater tendency to create winwin situations.

Answered: 1 week ago

Previous Question Next Question