Question

Task 4 R=39 ) Task 4                                       &

Task 4
R=39

) Task 4                                                                                                     R is 39
R=39                
A company produces light bulbs whose life follows a normal distribution, with mean (1300+R) hours and standard deviation (50+R) hours. If we choose a light bulb randomly  
a. What is the probability that its lifetime will be less than 1600 hours?               
b. What is the probability that its lifetime will be more than 1850 hours?          
c. What is the probability that its lifetime will be between 1280 and 1740 hours?
d. What is the lifetime in hours that R % of the bulbs exceed?               

Homework Answers

Know the answer?
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
Similar Questions
Each year, a large warehouse uses thousands of fluorescent light bulbs that are burning 24 hours...
Each year, a large warehouse uses thousands of fluorescent light bulbs that are burning 24 hours per day until they burn out and are replaced. The lifetime of the bulbs, X, is a normally distributed random variable with mean 620 hours and standard deviation 20 hours. (a) If a light bulb is randomly selected, how likely its lifetime is less than 582 hours? (b) The warehouse manager orders a shipment of 500 light bulbs each month. How many of the...
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...
The lifetime of a lightbulb follows a normal distribution with mean 1500 hours and standard deviation...
The lifetime of a lightbulb follows a normal distribution with mean 1500 hours and standard deviation of 100 hours. a. What is the probability that a lightbulb will last at least 1400 hours? b. What is the probability that a light bulb burns out in fewer than 1600 hours? c. What is the probability that a light bulb burns out in fewer than 1600 hours given that it has lasted 1400 hours? d. A technology breakthrough has occurred for which...
Problem 7 Suppose you have a random variable X that represents the lifetime of a certain...
Problem 7 Suppose you have a random variable X that represents the lifetime of a certain brand of light bulbs. Assume that the lifetime of light bulbs are approximately normally distributed with mean 1400 and standard deviation 200 (in other words X ~ N(1400, 2002)). Answer the following using the standard normal distribution table: Approximate the probability of a light bulb lasting less than 1250 hours. Approximate the probability that a light bulb lasts between 1360 to 1460 hours. Approximate...
2. A manufacturer of fluorescent light bulbs advertises that the distribution of the lifespans of these...
2. A manufacturer of fluorescent light bulbs advertises that the distribution of the lifespans of these bulbs is normal with a mean of 9,000 hours and a standard deviation of 1,000 hours. What is the probability that a randomly chosen light bulb lasts more than 9500 hours? Describe the distribution of the mean span of 15 light bulbs. What is the probability that the mean lifespan of 15 randomly chosen light bulbs is more than 9500 hours?
The life duration for a light bulb is well approximated by an exponential random variable with...
The life duration for a light bulb is well approximated by an exponential random variable with a mean of 400 hours. Assume that a classroom has a projector that has a life bulb with a lifetime distribution as above, and it is used 40 hours per week. Also, for your calculations, assume that a month has exactly 4 weeks. What is the probability that you would need to replace the bulb no more than twice a year? Assume uniform usage...
1. A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of...
1. A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours. A. What is the probability that a randomly chosen light bulb lasts more than 10,500 hours? B. what is the probability that the mean lifespan of 15 randomly chosen light bulbs is more than 10,500 hours? c. could you estimate the probability from parts A...
10-One has 100 light bulbs whose lifetimes are independent exponentials with mean 5 hours. If the...
10-One has 100 light bulbs whose lifetimes are independent exponentials with mean 5 hours. If the bulbs are used one at a time, with a failed bulb being replaced immediately by a new one, a)Approximate the probability that there is still a working bulb after 525 hours. Use Central Limit Theorem to find the probability that sum of life of 100 bulbs is greater than 525 hours. Answer: 0.3085 b)Suppose it takes a random time, uniformly distributed over (0, .5)...
A package of light bulbs promises an average life of more than 750 hours per bulb....
A package of light bulbs promises an average life of more than 750 hours per bulb. A consumer group did not believe the claim and tested a sample of 40 bulbs. The average lifetime of these 40 bulbs was 740 hours with ? = 30hours. The manufacturer responded that its claim was based on testing hundreds of bulbs. b.Given the usual sampling assumptions, is there a 95% probability that 750 lies in the 95% confidence interval of the manufacturer? c.If...
Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 57...
Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this​ information, answer the following questions. ​(a) What proportion of light bulbs will last more than 61 ​hours? ​(b) What proportion of light bulbs will last 51 hours or​ less? ​(c) What proportion of light bulbs will last between 58 and 61 ​hours? ​(d) What is the probability that a randomly selected light bulb lasts...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT