Question

Suppose the manufacturer of a particular lubrication oil claims that the lifetime of the oil is...

Suppose the manufacturer of a particular lubrication oil claims that the lifetime of the oil is exponentially-distributed with a mean of 10,000 hours.

1.) The probability that the oil will last at least 26 weeks (4368 hours).

2.) The expectation of the remaining life if the oil has been in use for 13 weeks (2184 hours).

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

1.

The following information is provided:

The provided mean is β=10000.

We need to compute . Therefore, the following is obtained:

which completes the calculation.

2.

The exponential distribution is memoryless i.e. the past has no bearing on its future behavior.

The expectation of the remaining life if the oil has been in use for 13 weeks would be the expectation of the lifetime of the oil = 10000 hours.

Please do upvote if you are satisfied! Let me know in the comments if anything is not clear. I will reply ASAP!

0 0
Know the answer?
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
Similar Questions
A manufacturer claims that the mean lifetime of its lithium batteries is 902 hours. A homeowner...
A manufacturer claims that the mean lifetime of its lithium batteries is 902 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 881 hours with a standard deviation of 83 hours. Test the manufacturer's claim. Use α = 0.05.
A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. A homeowner...
A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. A homeowner selects 40 bulbs and finds the mean lifetime to be 1490 hours with a population standard deviation of 80 hours. Test the manufacturers claim. Use a=0.05. Show graph as well.
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1200 hours....
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1200 hours. A homeowner randomly selects 35 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturers claim. Use α = 0.05.
The lifetime of a particular component is normally distributed with a mean of 1000 hours and...
The lifetime of a particular component is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. Find the probability that a randomly drawn component will last between 800 and 950 hours. Question 12 options: 0.9378 0.2857 0.6687 0.3784
When used in a particular DVD player, the lifetime of a certain brand of battery is...
When used in a particular DVD player, the lifetime of a certain brand of battery is normally distributed with a mean value of 12 hours and a standard deviation of 0.8 hours. Suppose that two new batteries are independently selected and put into the player. The player ceases to function as soon as one of the batteries fails. (Use a table or technology.) (a) What is the probability that the DVD player functions for at least 10 hours? (Round your...
1. A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. A...
1. A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. A homeowner selects 40 bulbs and finds the mean lifetime to be 1480 hours with a population standard deviation of 80 hours. Test the manufacturer's claim. Use alpha equal to 0.05. State the sample mean and the population standard deviation. 2. Using problem in number 1. Choose the correct hypotheses. 3. Using the problem in number 1. State the critical value(s). 4. Using the problem...
Suppose that for a particular brand of light bulb, the lifetime (in months) of any randomly...
Suppose that for a particular brand of light bulb, the lifetime (in months) of any randomly selected bulb follows an exponential distribution, with parameter l = 0.12            a)    What are the mean and standard deviation for the average lifetime of the particular brand of light bulbs? What is the probability a single bulb will last greater than 9 months?            b)    If we randomly select 25 light bulbs of the particular brand, what are the mean and standard...
Let X denote the lifetime of a light bulb of a certain brand. Suppose that the...
Let X denote the lifetime of a light bulb of a certain brand. Suppose that the lifetime of a light bulb of this particular brand has an exponential distribution with mean lifetime of 200 hours. What is the probability that a light bulb has a lifetime between 100 and 400 hours?
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1520 hours....
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1520 hours. A homeowner selects 27 of these batteries and finds the mean lifetime to be 1498 hours with a standard deviation of 76 hours. Test the manufacturer's claim. Use α = 0.10. A. P-value = 0.112 > 0.02; do not reject H0; There is not enough evidence support the claim, that mean is less than 1500. B. P-value = 0.072 > 0.05; do not reject...
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1500 hours....
A manufacturer claims that the mean lifetime of its lithium batteries is less than 1500 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1480 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use α = 0.10. A. P-value = 0.112 > 0.10; do not reject H0; There is not enough evidence support the claim, that mean is less than 1500. B. P-value = 0.112 > 0.05; do not reject...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT