read the problem statement and answer the asked question

Q1(30 points) A population of unemployed job searchers have completed spell lengths

that follow a negative exponential distribution, that is, the p.d.f. and c.d.f. of the

spell length distributions are

f(t) = exp(t), t> 0, > 0.

F(t)=1 exp(t).

In a survey, currently unemployed respondents are asked to report how many months

they have been searching for work, where their responses are limited to the values

t

{0, 1, 2, ...}. Assume that someone unemployed for less than 1/2 of a month

answers with t

= 0, and that for those unemployed more than 1/2 month, their

response is equal to the integer t if their true duration is greater than or equal to

t

.5 and less than t + .5, that is,

t

i =

0 if ti < .5

j if j .5 ti < j + .5, j = 1, 2, ...

The data available to you are {t

i }N

i=1.

(a) Can the administrative records be used to consistently estimate ? Answer this

by first writing down the log likelihood function

Q2.discuss the term pricing and factors affecting pricing decisions

Q3 answer and explain your answer for questions below

1. What are the main objectives of promotion? List them in the space below :

(a) ___________________________________________________________

(b) ___________________________________________________________

(c) ___________________________________________________________

2. State the main factors affecting the choice of distribution channels.

(a) ___________________________________________________________

(b) ___________________________________________________________

(c) ___________________________________________________________

(d) ___________________________________________________________

3. Which element of the promotion mix is being referred to in the following statements.

(a) It is a temporary incentive to induce trial or purchase of a new product.........................

(b) It does not cost money but may involve considerable time and effort by the

marketeer..........................................

(c) It is an effective promotion tool for machines, lubricant etc..................................

(d) Press conference, publications and news in the electronic media are its various

tools..........................................

(e) It is a paid form of non-personal communication by an identified sponsor...........................................

(f) It is done through popular media like radio, television, magazines, newspapers

etc...................................