Concept explainers
Warranties A manufacturer of electrical components has determined that the length of time t (in hundreds of hours) before a certain one of its components fails has probability density function
Find the probability that a randomly selected one of these components lasts
(a) more than 150 hours.
(b) more than 150 hours given that it lasts more than 100 hours.
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Chapter 13 Solutions
WebAssign with Corequisite Support for Harshbarger/Reynolds/Karr/Massey's Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition [Instant Access], Single-Term
- YOUR TURN Repeat Example 2 for a flashlight battery with a useful life given by the probability density function f(t)=125et/25fort0. EXAMPLE 2 Flashlight Battery Suppose the useful life in hours of a flashlight battery is the random variable T, with probability density function given by the exponential distribution f(t)=120et/20fort0. a Find the probability that a particular battery, selected at random, has a useful life of less than 100 hours. b Find the expected value and standard deviation of the distribution. c What is the probability that a battery will last longer than 40 hours?arrow_forwardLength of a leaf The length of a leaf on a tree is a random variable with probability density function is defined by f(x)=332(4xx2)forxin[0,4]. a. Find the expected leaf length? b. Find for this distribution? c. Find the probability that the length of a given leaf is within 1 standard deviation of the expected value.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
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