Question: Proceeding from an heuristic argument, show that er _ 2Px(2 + ex+2). If a person survives 2 years (with probability 2pz), her/his mean curtate-future-lifetime will

Proceeding from an heuristic argument, show that er _ 2Px(2 + ex+2). If a person survives 2 years (with probability 2pz), her/his mean curtate-future-lifetime will be 1 + ex+2. However, her/his curtate-future-lifetime will be 1 when she/he dies within 2 years. If a person dies within 2 year, her/his curtate life time will be 2, and if the person survives 2 year (with probability 2pr), her/his mean curtate life time will be ex+2 O If the person survives one year (with probability pr), her/his mean curtate life time will be 1 + er+1 O If a person survives 2 years, then, at this moment, the total (starting from the age a) expected life time equals 2+ er+2

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Mathematics Questions!

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Problem 5 Introducing the king: the normal distribution N and his princessses: the lognormal distri- bution LogN. chi-squared distribution xi, Student's T distribution T) and Fisher-Snecodor's...

Please use regular symbols so as to not get confused, thank you! am l_ \\- Use the change of quantier rule together with the eighteen rules of inference to derive the conclusions of the following...

please help im stuck Please read the instructions before proceeding. Translate the following argument into symbolic form using the translation key given in parentheses, then the tell rules of...

Hi, can somebody help me with this? The material is based on Pattern Recognition and Machine Learning by Bishop. The fitting_N20 csv is as follows: 1 0 0.991459 2 0.105263 0.360328 3 0.210526...

4.6 Let X1, X2,...,Xr be independent with Xi N(i, 1). The following heuristic argument, due to Stein (1956b), suggests that it should be possible, at least for large r and hence large ||, to improve...

You select at random k numbers from the sequence 1, ...,n. Show that the probability that you will choose a particular combination of numbers, say, 1,2, ...,k, is 1/ (n k). Suppose that now you...

Consider theM/M/1 queueing model, and denote by T the amount of time a randomly chosen customer spends in the system. We consider the stationary regime and take for granted that the r.v. K, the...

If X and Y are independent exponential random variables with respective means 1/2, and 1/2, then (a) use the lack of memory property of the exponential to intuitively explain why Z min(X, Y) is...

Problem 18 A deck consists of '11 cards, numbered 1 through an. The deck is going to be shufed. Assume that all permutations of the n cards are equally likely. Let 1 g m1, m2, k1, kg 3 n. a) How many...

Identify the sources of Canadian laws and distinguish their components. (Marks 20) Q2: Describe the structure of the courts in Canada and illustrate the litigation process. (Marks 20) Q3: Explain the...

What are some of the more common techniques for welding thermoplastics? Identify the primary source of heat for each of these processes.

In each of the following cases, make the letter in the brackets the subject of the formula. 9 (a) F=C+32 5 IC (b) A 20+ url [/I 1 (c) s=ut+ [u] (d) S=12a+ (n-1)dl Idl

Determine the difference in energy of the Ka and Kg lines of the element with atomic number Z=17. Use Bohr's model for hydrogen like atoms. Give your answer in eV and in decimal format. Your Answer:...

If (Qr/Q=120 percent of discharge), effluent BOD concentration=80ppm, volume of filter =825m3 , discharge =50L/sec , The influent BOD concentration equal: Select one: a. 277.89 b. 277.2 c. 276 d. 275

Suppose your town has one movie theater, and the nearest theaters are a far drive away. The movie theater owners pay a constant marginal cost of $200 per night to operate the theater (pay...

Create a Gantt Chart for a room makeover. You do not have to use Microsoft Excel to make a Gantt chart but if you prefer or want to try there are plenty of videos on how to use excel to make a Gantt...

1. Discuss the following statement: Everything is seen, heard and said by a subject, and accordingly is subjective.

1. This chapter is designed to give the reader an understanding of how the way a problem is framed is crucial for how it is perceived, both by the recipient of a message and the person who wants to...

5. How is communication affected by how we demarcate the boundaries of a problem?