Question

3. The lifetime of the battery of a particular type of laptop is modeled as an exponential r.v. X with a mean of 10 years. Yo

Need someone to compare my solution with

a) 1 - P( x < 5 )

b) Confused on this part, maybe because of the wording. Should it be 1 - P(x <= 6) ***we get 6 since battery was bought year prior*

0 0
Add a comment Improve this question Transcribed image text
Answer #1

a)

here parameter β =10

P(X<x)=(1/β)e-x/β=

therefore P(battery last at least 5 years):

probability = P(X>5)= 1-P(X<5)= 1-(1-exp(-5/10))= 0.6065

b)

as laptop battery is 1 year old, therefore for total life time to be more than 5 years, it has to stand at least 4 more years:

probability = P(X>4)= 1-P(X<4)= 1-(1-exp(-4/10))= 0.6703
Add a comment
Know the answer?
Add Answer to:
Need someone to compare my solution with a) 1 - P( x < 5 ) b)...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT