The random variable x the time to failure in thousands of

Reference no: EM13612695

The random variable X, the time to failure (in thousands of miles driven) of the signal lights on an automobile has a Weibull distribution with a = 0.04 and B = 2.

a) Find the density, mean, and variance for X.

b) Find the reliability function for X.

c) What is the reliability of these lights at 5000 miles? 10,000 miles?

d) What is the hazard rate function?

e) What is the hazard rate function at 5000 miles? 10,000 miles?

f) What is the probability that the lights will fail during the first 3000 miles driven?

Reference no: EM13612695

Questions Cloud

Leadership and skills planning and control there are many : there are many projects known to the public which have received attention by the media because of their perceived

How is a taxable estate calculated how do lifetime gifts : how is a taxable estate calculated? how do lifetime gifts fit into this equation? if you had an estate worth 10 million

Explain how a company chooses a taxable year what do you : explain how a company chooses a taxable year. what do you think the taxable year for the following businesses would be?

What is the equation of the least-squares regression line : because elderly people may have difficulty standing to have their height measured a study looked at the relationship

The random variable x the time to failure in thousands of : the random variable x the time to failure in thousands of miles driven of the signal lights on an automobile has a

Find the : an outbreak of the deadly ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the congo. to

The desired percentage of sio2nbspin a certain type of : the desired percentage of sio2nbspin a certain type of aluminous cement is 5.5. to test whether the true average

10 squirrels were found to have an average weight of 96 : 10 squirrels were found to have an average weight of 9.6 ounces with a sample standard deviation is 0.30. find the 99

Assume that the burning rates for each propellant are : two distinct solid fuel propellants type a and type b are being considered for a space program activity. burning rates

User Account

All Pages