The random variable x the time to failure in thousands, Ask an Expert

Statistics

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

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

(b) Find the reliability function for X.

(d) What is the hazard rate function?

(e) What is the hazard rate at 5,000 miles? At 10,000 miles?

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

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9990353

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

A researcher determines that students study an average of

A researcher determines that students study an average of 60 15 (M SD) minutes per week. Assuming these data are normally distributed, what is the z score for students studying 45 minutes per week?

A firm evaluates all of its projects by applying the irr

A firm evaluates all of its projects by applying the IRR rule. Year Cash Flow 0 -$ 153,000 1 78,000 2 67,000 3 49,000 What is the project's IRR? If the required return is 11 percent, should the firm accept the project? Y ...

Parents who did not finish high school have sat math scores

Parents who did not finish high school have SAT math scores X with mean 451 and standard deviation 103. Scores Y of children of parents with graduate degrees have mean 567 and standard deviation 104. Perhaps we should st ...

One study based on responses from 1016 randomly selected

One? study, based on responses from 1,016 randomly selected? teenagers, concluded that 44?% of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than h ...

In a single season an average ofnbsp24nbsphome runs were

In a single? season, an average of 2.4 home runs were hit per game. Assume the number of home runs per game follows the Poisson distribution. ?a) What is the probability that 6 home runs will be hit in a randomly selecte ...

In families with four children youre interested in the

In families with four children, you're interested in the probabilities for the different possible numbers of girls in a family. Using theoretical probability (assume girls and boys are equally likely), compile a five-col ...

You have 100 coins and 99 of them are fair equal

You have 100 coins, and 99 of them are fair (equal probability of heads or tails). One of them is weighted and has a 90% probability of landing on heads. You randomly choose one of the 100 coins. Find the probability tha ...

What is the business of wholesale banking in terms of its

What is the business of wholesale banking in terms of its Products and Services and its customer base? What are the key challenges in the wholesale banking market?

Iq test scores of students are normally distributed with

IQ test scores of students are normally distributed with mean μ=100 and standard deviation σ=10. What is the 33th percentile of the IQ scores? For a randomly chosen student, what is the probability that his or her IQ sco ...

Write out the sample space for the possible genders of the

Write out the sample space for the possible genders of the children. (For example, BBG would be one possible outcome in the sample space.) Use the sample space to find the probability that the family has at least one gir ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert