Question

Suppose the lifetime, in years, of a motherboard is modeled by a Gamma distribution with parameters...

Suppose the lifetime, in years, of a motherboard is modeled by a Gamma distribution with parameters α=80α=80 and λ=4λ=4. Use the Central Limit Theorem to approximate the probability that the motherboard of a new computer will last for at least the next 15 years.

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

Homework Answers

Answer #1

TOPIC:Gamma distribution and Central limit theorem.

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
Suppose that the lifetime (in weeks) of a transistor has a gamma distribution with parameters α...
Suppose that the lifetime (in weeks) of a transistor has a gamma distribution with parameters α = 4, β = 6. What is the probability that a random transistor will last longer than 30 weeks
Suppose that the lifetime (in weeks) of a transistor has a gamma distribution with parameters α...
Suppose that the lifetime (in weeks) of a transistor has a gamma distribution with parameters α = 4, β = 6. What is the probability that a random transistor will last longer than 30 weeks? (10 pts.) Please need correct answer for a test.
The lifetime of a bird can be modeled as a Weibull distribution with a=0.9. a) If...
The lifetime of a bird can be modeled as a Weibull distribution with a=0.9. a) If the probability that a bird lives longer than 10 years is 0.4, find the value of the parameter λ? b) What is the time to which 80% of the birds live?
The lifetime of a part follows a gamma distribution with a mean lifetime of 2 years...
The lifetime of a part follows a gamma distribution with a mean lifetime of 2 years and a variance of 5 years squared. what is the probability that a random part dies within the first 3 years?
The type of battery in Jim's laptop has a lifetime (in years) which follows a Weibull...
The type of battery in Jim's laptop has a lifetime (in years) which follows a Weibull distribution with parameters α = 2 and β = 4 . The type of battery in Jim's tablet has a lifetime (in years) which follows an exponential distribution with parameter λ = 1 / 4 . Find the probability that the lifetime of his laptop battery is less than 2.2 years and that the lifetime of his tablet battery is less than 3.1 years.
Part I: Chi-squared Distribution & the Central Limit Theorem The idea here is that you will...
Part I: Chi-squared Distribution & the Central Limit Theorem The idea here is that you will explore a type of rv on your own (we only briefly mentioned this one in class) a) Imagine sampling 50 values from χ2(8) a chi-squared distribution with 8 degrees of freedom. According to the CLT (central limit theorem), what should be the expected value (mean) of this sample? You should not need to do any coding to answer this. This is worth 1/2 EC...
The special case of the gamma distribution in which α is a positive integer n is...
The special case of the gamma distribution in which α is a positive integer n is called an Erlang distribution. If we replace β by 1 λ in the expression below, f(x; α, β) = 1 βαΓ(α) xα − 1e−x/β x ≥ 0 0 otherwise the Erlang pdf is as follows. f(x; λ, n) = λ(λx)n − 1e−λx (n − 1)! x ≥ 0 0 x < 0 It can be shown that if the times between successive events are...
Question 1) The concentration, X, in ppm of chlorophyll in outfield grass be modeled as a...
Question 1) The concentration, X, in ppm of chlorophyll in outfield grass be modeled as a gamma random variable with parameters α = 5 (α is called shape in R.) and β = 12 (β is called scale in R.). Thus, X has probability density: f(x,α,β) = 1 / β^αΓ(α) xα−1e−x/β for 0 ≤ x ≤ ∞ and 0 otherwise with α = 5 and β = 12 Note that Γ(α) is the gamma function. In R, there is a...
Suppose the lifetime of incandescent light bulbs has a mean of 1691.805 hours and a standard...
Suppose the lifetime of incandescent light bulbs has a mean of 1691.805 hours and a standard deviation of 79.1675 days. According to the Central Limit Theorem, what happens to the histogram of averages as n increases? Question 6 options: 1) The histogram will begin to look less like the normal curve. 2) The histogram will begin to look more like the normal curve. 3) Increasing n will not affect the histogram of averages. 4) It depends on the mean and...
Suppose a car radiator useful lifetime has Weibull distribution with β = 1.5 and the mean...
Suppose a car radiator useful lifetime has Weibull distribution with β = 1.5 and the mean lifetime of 150,000 miles. John has just bought a used car with 180,000 miles and original radiator which is still good. What is the probability that it’s going to last at least 20,000 miles more before needing replacement?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT