Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. 5) the lifetime of a certain type of batteries fol

5) The lifetime of a certain type of batteries follows an exponential distribution with the mean...

90.2K

Verified Solution

Question

Basic Math


5) The lifetime of a certain type of batteries follows anexponential distribution with the mean of 12 hours.
a) What is the probability that a battery will last more than14 hours?
b) Once a battery is depleted, it is replaced with a newbattery of the same type. Assuming independence between lifetimesof batteries, what is the probability that exactly 2 batteries willbe depleted within 20 hours?
c) What is the probability that it takes less than 30 hoursuntil the fourth battery is needed?

Answer & Explanation Solved by verified expert
4.5 Ratings (720 Votes)
Let X be the lifetime of the batteries X follows Exponential distribution with mean 12 hours Hence 112 batteries fail per hour a To find Pa battery will last more than 14 hours that is to find PX 14 We use Excel function EXPONDIST to find the    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Medical Sciences
1.2K views

54-58 The vestibulospinal tract: connects the vestibular region to the spinal cord is a descending tract both a. and...

Physics
1.2K views

A spring is attached to an inclined plane as shown in the figure. A block of...

Biology
1.2K views

Why does arterial blood pressure vary over time?Arteries have thicker vessel walls.Artery walls are elastic...

Biology
1.2K views

Based on Richard Wagner s comment I wish I could score everything for horns we...

Basic Math
1.2K views

For studying the electric current that is induced in wire rotating through a magnetic field,...

Calculus
1.2K views

Let F x f 1 and G x f x You also know that a...

Calculus
1.2K views

A boat purchased for $25,000 depreciates exponentially. After one year, the car is valued at...

Calculus
1.2K views

Find a function f and a positive number a such that f x a f...

Accounting
1.2K views

The petty cash fund has a current balance of $630, which is the established fund...

Finance
1.2K views

D = 12% 17. MM proposition 2* Archimedes Levers is financed by a mixture of...

Accounting
1.2K views

Dallas and Weiss formed a partnership to manage rental properties, by investing $164,000 and $246,000,...

Accounting
1.2K views

On June 10, 20X8, Playoff Corporation acquired 100 percent of Series Company's common stock. Summarized...