4. Suppose the life distribution of an item has failure rate function (t ) = t 3,...

Question:

4. Suppose the life distribution of an item has failure rate function λ(t ) = t 3, 0 <

t < ∞.

(a) What is the probability that the item survives to age 2?

(b) What is the probability that the item’s life is between .4 and 1.4?

(c) What is the mean life of the item?

(d) What is the probability a 1-year-old item will survive to age 2?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Probability And Statistics For Engineers And Scientists

ISBN: 9780125980579

3rd Edition

Authors: Sheldon M. Ross

See More Books

Question Posted: Sep 12, 2024 02:01 AM

See More Questions

Northland Corporation is a small information-systems consulting firm that specializes in helping companies implement standard sales-management software. The market for Northalndss services is very...
Read the case "Family Violence: Wade vs. Earl" give the response about it
The gear forces shown act in planes parallel to the yz plane. The force on gear A is 300 lbf. Consider the bearings at O and B to be simple supports. For a static analysis and a factor of safety of...
4. Suppose the life distribution of an item has failure rate function (t ) = t 3, 0 < t < . (a) What is the probability that the item survives to age 2? (b) What is the probability that the items...
Gloria Traxell is paid $800 for a 40-hour workweek and time-and-a-half for hours above 40. Requirements 1. Compute Traxells gross pay for working 48 hours during the first week of February. Carry...
ffer-tax cost of debt for one year for a U.S. dollar-based company if the exchange rate at the end of the period was: SF1.5500/\$ SF1.4900/\$ SF1.4470/\$ 1. SF1.6630/\$
3. The lung cancer rate of a t -year-old male smoker, (t ), is such that Assuming that a 40-year-old male smoker survives all other hazards, what is the probability that he survives to (a) age 50,...
5. A continuous life distribution is said to be an IFR (increasing failure rate) distribution if its failure rate function (t ) is nondecreasing in t . (a) Show that the gamma distribution with...
What is the value of death prior to societys perspective on personal values? (Nonsense alternative, designed to identify people picking high-sounding alternatives.) AppendixLO1
A disadvantage of small Latin squares designs is that they provide relatively small degrees of freedom, so , if tends to be desirable to replicate them to increase the error degrees of freedom?
3 . ) What is the time of completion, and why must it be clearly stated in the contract agreement provisions?
Let x represent the number of tails when a fair coin is flipped 100 times. a) Compute the distribution of x and represent it using a bar plot. b) Calculate the mean (expected value) and the standard...
What is the primary reason we have developed and employ an expansive body of knowledge of project management today?
Here is an interesting game presented and discussed by psychologists, mathematicians, philosophers, and people in business, risk management, and gambling. You start with $1, and a die is rolled. You...
(a) How may an Ellingham diagram be used to decide whether one metal may be used to reduce the oxide of another metal? (b) Use the Ellingham
In July 2013, cnet.com listed the battery life (in hours) and luminous intensity (i. e., screen brightness, in cd/m2) for a sample of tablet computers. We want to know if screen brightness is...
21. A bag contains a white and b black balls. Balls are chosen from the bag according to the following method: 1. A ball is chosen at random and is discarded. 2. A second ball is then chosen. If its...
22. A round-robin tournament of $n$ contestants is one in which each of the $\binom{n}{2}$ pairs of contestants play each other exactly once, with the outcome of any play being that one of the...
23. Prove directly that $$P(E|F) = P(EFG)P(G|F) + P(EFG^c)P(G^c|F)$$

4. Suppose the life distribution of an item has failure rate function (t ) = t 3,...

Question:

Step by Step Answer:

Introduction To Probability And Statistics For Engineers And Scientists

Students also viewed these Business questions