HomeworkLib
Question

1.Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight...

1.Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years.  Find the probability that a light bulb lasts between 6 and 8 years.

a.2.7

b. 8

c. 8.4

d. 3.4

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

1) x-t tu -0-1250 mean life time like time = u=8. det t be the lifetime of light buld. xn Expl 7 ) fx (X) = 1 0.125 C P(X<x)for further query please comment below.thank you

0 0
Add a comment
Know the answer?
Add Answer to:
1.Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

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

  • 1. Suppose that the longevity of a light bulb is exponential with a mean lifetime of...

    1. Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years.  Find the probability that a light bulb lasts between 6 and 8 years. a. 0.875 b. 0.125 c. 0.896 d. 0.104 2. At a 911 call center, calls come in at an average rate of one call every two minutes. Assume that the time that elapses from one call to the next has the exponential distribution. Find the probability after a call is...

  • A light bulb (the lifetime is assumed to follow an exponential distribution) has a mean life...

    A light bulb (the lifetime is assumed to follow an exponential distribution) has a mean life of 400 hours. What is the probability of the bulb lasting 1) less than 300 hours; 2) more than 500 hours; 3) between 200 and 500 hours?

  • Two light bulbs, have exponential lifetime where expected lifetime for bulb A is 500 hours and ex...

    Two light bulbs, have exponential lifetime where expected lifetime for bulb A is 500 hours and expected lifetime for bulb B is 200 hours. a) What is the expected time until bulb A or bulb B malfunctions ? b) What is the probability that bulb A malfunctions before bulb B ?  

  • 1. The manufacturer claims that the light bulb will be operational for an average of 34...

    1. The manufacturer claims that the light bulb will be operational for an average of 34 months. For this math assignment, assume that the exponential distribution is the best model for the situation. pexp(k, lambda) pexp(k, lambda, lower.tail = FALSE). a. What is the probability that the light bulb lasts less than 40 months? b. What is the probability that the light bulb lasts less than 34 months? c. What is the probability that the light bulb lasts at least...

  • 3. Let and be independent random variables representing the lifetime (in 100 hours) of Type A...

    3. Let and be independent random variables representing the lifetime (in 100 hours) of Type A and Type B light bulbs, respectively. Both variables have exponential distributions, and the mean of X is 2 and the mean of Y is 3. a) Find the joint pdf f(x, y) of X and Y. b) Find the conditional pdf fa(ylx) of Y given Xx. c) Find the probability that a Type A bulb lasts at least 300 hours and a Type B...

  • Suppose that the lifetime of a computer model is an aleator variable with an exponential distribution whose mean is 18 m...

    Suppose that the lifetime of a computer model is an aleator variable with an exponential distribution whose mean is 18 months a) If the cost of assembly of each computer is 1260 USD and sold at 1850 USD, determine the expected utility for each computer knowing that the distributor changes to a new one if it lasts less than 12 months b) A company acquires 8 such computers, what is the probability that at least 1 lasts at least 12...

  • Suppose the manufacturer claims that the mean lifetime of a light bulb is more than 10,000...

    Suppose the manufacturer claims that the mean lifetime of a light bulb is more than 10,000 hours. In a sample of 30 light bulbs, it was found that they only last 9,900 hours on average. Assume the population standard deviation is 120 hours. At 0.05 significance level, can we reject the claim by the manufacturer? Select one: a. We reject the claim b. We accept the claim

  • 4. A company tells you that their light bulbs last two years on average, with an...

    4. A company tells you that their light bulbs last two years on average, with an exponential distribution. a. If they are correct, what is the probability that the light bulb will last between three and four years? b. What is the probability that the light bulb will last one year or less? c. If the light bulb lasts eight years, should you be surprised? (Is the probability of this event less than five percent?) Does it seem like the...

  • Suppose a brand of light bulbs is normally​ distributed, with a mean life of 1700 hr...

    Suppose a brand of light bulbs is normally​ distributed, with a mean life of 1700 hr and a standard deviation of 150 hr. Find the probability that a light bulb of that brand lasts between 1415 hr and 1910 hr.

  • Suppose hard drive A has a lifetime that is exponentially distributed with mean of 7 years...

    Suppose hard drive A has a lifetime that is exponentially distributed with mean of 7 years and hard drive B has a lifetime that is exponentially distributed with a mean of 4 years. What is the probability that drive B lasts at least 6 times longer than drive A?

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