Question: A mathematical model in political science* asserts that the length of time served (continuously) by a legislator is a random variable X that is exponentially

A mathematical model in political science* asserts that the length of time served (continuously) by a legislator is a random variable X that is exponentially distributed with density function

N(t) = -ct [ce lo for t 0 for t < 0

where t is the number of years of continuous service and c is a positive constant that depends on the nature and character of the legislative body.

a. For the U.S. House of Representatives, it was found that c = 0.0866. Find the probability that a randomly selected House member will serve at least 6 years.

b. For the British House of Commons, it was found that c = 0.135. What is the probability that a member of this body will serve at least 6 years?

N(t) = -ct [ce lo for t 0 for t < 0

Step by Step Solution

★★★★★

3.48 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b PX6 lim 00866e00866... 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

Students Have Also Explored These Related Calculus With Applications Questions!

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...

This case study on project evaluation is applicable for beginning courses in corporate finance or finance strategy. Two alternative investment options are available to evaluate. Challenges are...

1. Based on the information provided in the case below, what is the key strategic goal for Tim Hortons as of August 2014? It would be a year of dramatic change for Tim Hortons Inc. On August 26,...

Independent Journal of Management & Production E-ISSN: 2236-269X ijmp@ijmp.jor.br Instituto Federal de Educao, Cincia e Tecnologia de So Paulo Brasil Gumus, Seigha; Monday Bubou, Gordon; Humphrey...

Using the following attached reading titled "An Institutional Explanation of the Democratic Peace by Bruce Bueno de Mesquita, James D. Morrow, Randolph M. Siverson and Alastair Smith compose a paper...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

For monotone functions f, f0: P Q between posets (P, vP ) and (Q, vQ), let f v f(i) Prove that the binary relation v is a partial order. [3 marks] (ii) For monotone functions between posets p : P 0...

From the book Networks, Crowds, and Markets: Reasoning about a Highly Connected World. By David Easley and Jon Kleinberg. Cambridge University Press, 2010. Complete preprint on-line at...

Commentary Beyond Black Box Epidemiology Douglas L. Weed, MD, PhD "Black box epidemiology" is the most recent addition to a long list of disciplinary subgroups although few practitioners would likely...

A closed-loop feedback system is shown in Figure E7.25. For what range of values of the parameters K is the system stable? Sketch the root locus as 0 FIGURE E7.25 Non unity feedback system with...

Lotoya Davis Corporation has ten million shares of common stock issued and outstanding. On June 1 the board of directors voted an 80 cents per share cash dividend to stockholders of record as of June...

Patrick Inc. makes industrial solvents. Budgeted direct labor hours for the first 3 months of the coming year are: January 13,140 February 12,300 March 15,075 The variable overhead rate is $0.70 per...

What is the name of the program?

How many women need to be studied in each group (equal sample size per group) to have an 80% probability of detecting a significant difference if a two-sided test is used with a type I error of 5%?...

Suppose that 20,000 women are recruited in each group in the actual study. How much power would the study have under the same assumptions just given? Cancer The effect of using postmenopausal...

One problem with the design is that about 20% of the women who are randomized to PMH will not comply (i.e., will go off PMH during the trial). In addition, 10% of the participants in the control...

Mirthful Manor Pty. Ltd. is a company which is based in Australia. It has two forms of business. One of these is it owns several retail stores where it sells clothing. The other form of business is...

At the beginning of the year, Keller Company's liabilities equal $60,000. During the year, assets increase by $80,000, and at year-end assets equal $180,000. Liabilities decrease $10,000 during the...

Present Value of Bonds Payable; Premium Mason Co. issued $870,000 of four-year, 13% bonds with interest payable semiannually, at a market (effective) interest rate of 12%. Determine the present value...