Question

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

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 ?  

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

Homework Answers

Answer #1

a)here parameter A =1/500 and B =1/200

a) expected time until bulb A or bulb B malfunctions=1/(A +B ) =1/(1/500+1/200)=142.8571 Hours

b)

probability that bulb A malfunctions before bulb B =P(A<B)=A/(A+B)=(1/500)/(1/500+1/200)

=0.2857

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
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...
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?
The lifetime of light bulbs produced by a company are normally distributed with mean 1500 hours...
The lifetime of light bulbs produced by a company are normally distributed with mean 1500 hours and standard deviation of 125 hours. a). What is the probability that a bulb will still be burning after 1250 hours? b). What is the number of hours that is survived by 78.81% of the light bulbs?
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...
Video projector light bulbs are known to have a mean lifetime of µ = 100 hours...
Video projector light bulbs are known to have a mean lifetime of µ = 100 hours and standard deviation σ = 75 hours. The university uses the projectors for 9000 hours per semester. (a) (15 points) Use the central limit theorem to estimate the probability that 100 light bulbs will last the whole semester? (b) (10 points) Explain how to estimate the number of light bulbs necessary to have a 1% chance of running out of light bulbs before the...
Video projector light bulbs are known to have a mean lifetime of µ = 100 hours...
Video projector light bulbs are known to have a mean lifetime of µ = 100 hours and standard deviation σ = 75 hours. The university uses the projectors for 9000 hours per semester. (a) (15 points) Use the central limit theorem to estimate the probability that 100 light bulbs will last the whole semester? (b) (10 points) Explain how to estimate the number of light bulbs necessary to have a 1% chance of running out of light bulbs before the...
The life of light bulbs is distributed normally. The variance of the lifetime is 400 and...
The life of light bulbs is distributed normally. The variance of the lifetime is 400 and the mean lifetime of a bulb is 530 hours. Find the probability of a bulb lasting for at least 552 hours. Round your answer to four decimal places.
The life of light bulbs is distributed normally. The variance of the lifetime is 625 and...
The life of light bulbs is distributed normally. The variance of the lifetime is 625 and the mean lifetime of a bulb is 570 hours. Find the probability of a bulb lasting for at least 599 hours. Round your answer to four decimal places.
The life of light bulbs is distributed normally. The variance of the lifetime is 225 and...
The life of light bulbs is distributed normally. The variance of the lifetime is 225 and the mean lifetime of a bulb is 520 hours. Find the probability of a bulb lasting for at most 533 hours. Round your answer to four decimal places.
Your company buys 500 fluorescent light bulbs from two different suppliers. Supplier A’s bulbs have an...
Your company buys 500 fluorescent light bulbs from two different suppliers. Supplier A’s bulbs have an average lifetime of 2000 hours and supplier B’s bulbs have an average lifetime of 5000 hours. Both suppliers’ bulbs have exponentially-distributed lifetimes. Supplier A provided 60% of the bulbs. 1. After six months of continuous use, how many of Supplier A’s original bulbs are expected to still be working? Round to the nearest tenth 2. After six months of continuous use, how many of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT