Question: A certain component has an exponential failure time distribution with mean = 3 hours. a. Find the probability that the component will fail before

A certain component has an exponential failure time distribution with mean β = 3 hours.

a. Find the probability that the component will fail before time t = 2 hours.

b. What is the reliability of the component at time t = 5 hours? Interpret this value.

c. Find and graph the hazard rate for the component. Interpret the results.

Step by Step Solution

★★★★★

3.41 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a The probability that the element will fail before time t 2 hours can be set up using the accretive ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Statistics For Engineering And The Sciences Questions!

Q:

A component has an exponential failure time distribution with a mean time to failure of 225 hours. (a) What is the probability that the component is still operating after 250 hours? (b) What is the...

Q:

A component has an exponential failure time distribution with a mean time to failure of 35 days. (a) What is the probability that the component is still operating after 35 days? (b) What is the...

Q:

Find the probability that the claim will be rejected assuming that the manufacturers claim is true. A drug manufacturer claims that a drug cures a rare skin disease 75% of the time. The claim is...

Q:

A component has an exponential failure time distribution with a mean time to failure of 35 days. (a) Find the probability that the component is still operating after 35 days. (b) Find the probability...

Q:

Refer to Exercise 17.15. a. Find a 99% confidence interval for the hazard rate of the capacitors. b. Find a 99% confidence interval for the reliability of the capacitors at 3,000 hours. c. Find a 99%...

Q:

The service life (in hours) of a semiconductor has an approximate exponential failure time distribution. Ten semiconductors are placed on life test until four fail. The failure times for these four...

Q:

A component has a Weibull failure time distribution with parameters =0.25 and =3.0. (a) Find the probability that the component is still operating at time 5. (b) Find the probability that the...

Q:

A wet-mix, steel-fiber-reinforced microsilica concrete (called shotcrete), used extensively in Scandinavia, is now being marketed in the United States. The material is said to have a minimum 28-day...

Q:

A component has a Weibull failure time distribution with parameters a = 3.0 and = 0.25. (a) What is the probability that the component is still operating at time 5? (b) What is the probability that...

Q:

please address these questions effectively:- A holiday wreath has 8 light bulbs connected in series. What would have to be the reliability of each bulb if there were a 95% chance of the string's...

Q:

Andrea Stone made an investment of $10,271.38. From this investment, she will receive $1,200 annually for the next 15 years starting one year from now. What rate of interest will Andrea's investment...

Q:

Carl, who is a valued employee, has a long history with the company. One day he showed up for work and got into a verbal altercation with another employee. As Carl's temper escalated, he picked up a...

Q:

The following data represent unemployment rates for male youths aged 1519 in New Zealand from 2000 to 2016 a. Plot the time series. b. Fit a 3-year moving average to the data and plot the results. c....

Q:

Identify a technology-based company that used acquisition to enter into an international market. Describe the strategic alignment and the executed deal terms. Was it a success? What were the key...

Q:

53. Exercise 30 (Section 3.3) gave the pmf of Y, the number of traffic citations for a randomly selected individual insured by a particular company. What is the probability that among 15 randomly...

Q:

56. The College Board reports that 2% of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities (Los Angeles Times, July 16,...

Q:

a. What is the probability that exactly 1 received a special accommodation?

Q:

Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was...

Q:

Q2: Given the following financial data, compute: a. Return on equity. b. Quick ratio. c. Long-term debt to equity. d. Fixed-charge coverage. Assets: Cash $ 2,500 Accounts receivable 3,000 Inventory...

Q:

What vulnerability source is compromised of a list of vulnerability entries? These entries contain ID numbers, a description, and at least one public reference.