Question: Suppose the random variable T is the length of life of an object (possibly the lifetime of an electrical component or of a subject given

Suppose the random variable T is the length of life of an object (possibly the lifetime of an electrical component or of a subject given a particular treatment). The hazard function hr(t) associated with the random variable T is defined by

Thus, we can interpret hÐ“(t) as the rate of change of the probability that the object survives a little past time t, given that the object survives to time t. Show that if T is a continuous random variable, then

P(tST t) hr(t) = lims-0-

Step by Step Solution

★★★★★

3.50 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

If T is continuous then Th... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

941-M-S-P (8605).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Suppose the random variable x is the number of magazines subscribed to by a Canadian household. The probability distribution for x is shown in Exhibit 5.39 below. a. What is the probability that a...

Suppose the random variable has an exponential distribution, fX (x) = exp ( x) u (x). We wish to estimate the probability of the event A = {X >xo} via simulation. We will compare the standard Monte...

Suppose the random variable y has a Poisson distribution. Compute the following probabilities: a. P(y = 4) given = 2 b. P(y = 4) given = 3.5 c. P(y > 4) given = 2 d. P(1 y

{6} Suppose the random variable T is the length of life of an object [polaaliblyr the lifetime of an electrical component, for example}. The hazard function hTU] associated with the random variable T...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

What was Karen's condition at the time the court considered her father's position to become guardian and remove life support? What did the court say about free exercise of religion here? The court...

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

answer the question clearly You are building a flight-control system for which a convincing safety case must be made. Would you assign the tasks of safety requirements engineering, test case...

How do I review the attached articles? I want to have it review them to able to compare with what I have done so far. American Economic Association Corporate Income Taxes and the Cost of Capital: A...

If And For some r > 0, it follows that P ( X ¹ Y ) = 0. a.s. Xn , -> 00

Your conclusion to the research is often presented to your boss or client in the form of a research memorandum. Identify the basic points to include in this memo. Also, identify at least two common...

4. In June 2019, the average price for a cup of coffee in Venezuela was 6,500 bolivars; in June 2018, the average price was just 8 bolivars. This represents an 81,150% increase in a cup of coffee for...

Look up data on the housing price bubble. Find at least two sources. What do you see?

Let p equal the proportion of yellow candies in a package of mixed colors. It is claimed that p = 0.20. (a) Define a test statistic and critical region with a significance level of Î± =...

For developing countries in Africa and the Americas, let p1 and p2 be the respective proportions of babies with a low birth weight (below 2500 grams). We shall test H0: p1 = p2 against the...

Let p be the fraction of engineers who do not understand certain basic statistical concepts. Unfortunately, in the past, this number has been high, about p = 0.73. A new program to improve the...

Anderson International Limited is evaluating a project in Erewhon. The project will create the following cash flows: Year Cash Flow 0 $585,000 1 215,000 2 158,000 3 223,000 4 202,000 All cash flows...

(Soving a comprehensive problem) Usa the erid-of-year atock prite data in the popup window, to answer the folowing questians for the Hams and Priwheel corrparies. a. Compdro the anual rates of redurn...

Your fund is a VC fund in software services sector, where you are a general partner (GP). Your optimal portfolio size[1] is 10 ventures for this current fund of 20MM raised from your LPs. Company =...