The total number of hours, measured in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function shown below. Find the probability that over a period of one year, a family runs vacuum cleaner (a) less than 110 hours; (b) between 60 and 85 hours. X. 0

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
icon
Concept explainers
Topic Video
Question

PLEASE HELP! stressed is and understatement!please show your work and if possible please write neatly. i will use your help as a study guide to practice and until I fully understand. 

The total number of hours, measured in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function shown below. Find the probability that over a period of one year, a family runs
vacuum cleaner (a) less than 110 hours; (b) between 60 and 85 hours.
X.
0<x<1
f(x) = { 2-x, 1sx<2
0,
elsewhere
(a) The probability the family runs the vacuum cleaner less than 110 hours is
Transcribed Image Text:The total number of hours, measured in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function shown below. Find the probability that over a period of one year, a family runs vacuum cleaner (a) less than 110 hours; (b) between 60 and 85 hours. X. 0<x<1 f(x) = { 2-x, 1sx<2 0, elsewhere (a) The probability the family runs the vacuum cleaner less than 110 hours is
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON