Question

The lifetime of bacteria follows the Weibull distribution. The probability that the bacteria lives for more...

The lifetime of bacteria follows the Weibull distribution. The probability that the bacteria lives for more than 10 hours is 0.76 and that it lives more than 20 hours is 0.3. The probability that among 300 bacteria more than 200 live longer than 10 hours can be computed as P(Z>a). What is the value of a? Please report your answer in 3 decimal places.

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

Homework Answers

Answer #1

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
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?
Suppose that the lifetime of a component (in hours), X is modelled with a Weibull distribution...
Suppose that the lifetime of a component (in hours), X is modelled with a Weibull distribution with a = 1.9. and λ = 1/4000. Determine the value for P(X >3000), Please enter the answer to 3 decimal places.
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.
A particular circulation pump has a Weibull lifetime distribution with a rate parameter λ = 0.064...
A particular circulation pump has a Weibull lifetime distribution with a rate parameter λ = 0.064 per 1000 hours and a shape parameter β = 1.23. What is the probability that this pump will run for at least 1300 hours? Express your answer rounded to three decimal places.
The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials...
The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose α = 2.8 and β = 210. (a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round...
The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials...
The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose α = 2.3 and β = 190. (a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round...
Show graphs in minitab! Probability distribution plot < View probability < Weibull Suppose that X has...
Show graphs in minitab! Probability distribution plot < View probability < Weibull Suppose that X has a Weibull distribution with beta = 2 and delta = 10000. Determine the following: a) P(X < 10,000) Numerical answer is 0.6321, please graph! b) P(X > 5000) Numerical answer is 0.7788, please graph! c) P(X < a) = 0.1 Numerical answer is 3246 hours, please graph!
The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials...
The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose α = 2.2 and β = 210. (a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round...
Assume that the lifespan of an Asian hornet follows a Weibull distribution with parameters β =...
Assume that the lifespan of an Asian hornet follows a Weibull distribution with parameters β = 2.0 and δ = 62 days. a)Determine the probability that an Asian hornet lives longer than 50 days. b)Determine the mean time in days until death of an Asian hornet. c)Determine the median life time of Asian hornet in days. (Hint: For median, m , P ( X ≤ m ) = 0.5 , X i s t h e l i f e...
The length of time in hours that a certain part lasts follows a Weibull distribution with...
The length of time in hours that a certain part lasts follows a Weibull distribution with parameters α = 2 and β = 2. a. What are the mean and standard deviation of this distribution? b. What is the probability that the part lasts less than 1 hour? c. What is the equation for the failure rate of the part? d. If the distribution is actually Gamma instead of Weibull find the equation for the failure rate of the part...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT