The number of months that a light bulb is functioning is exponentially distributed with parameter λ...

50.1K

Verified Solution

Question

Statistics

The number of months that a light bulb is functioning isexponentially distributed with parameter λ = 1/10 .

What is the probability that a light bulb will burn for at least4 months?

Find the mean and the standard deviation.

What is the probability that a light bulb will burn for at least12 months, given that it has burned for 4 months?

Answer & Explanation Solved by verified expert
4.5 Ratings (609 Votes)
Let X denote the random variable representing the number ofmonths that a light bulb is functioning Now we are given that Xis exponentially distributed with parameter 110    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