Henry, a Persistent Salesman, Calls North's Hardware Store Once a Week

question 27

Essay

Henry, a persistent salesman, calls North's Hardware Store once a week hoping to speak with the store's buying agent, Shirley. If Shirley does not accept Henry's call this week, the probability she will do the same next week is .35. On the other hand, if she accepts Henry's call this week, the probability she will not do so next week is .20.
a.Construct the transition matrix for this problem.
b.How many times per year can Henry expect to talk to Shirley?
c.What is the probability Shirley will accept Henry's next two calls if she does not accept his call this week?
d.What is the probability of Shirley accepting exactly one of Henry's next two calls if she accepts his call this week?

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Definitions:

What Is to Be Done

A political pamphlet written by Lenin in 1902 discussing the role of the vanguard party, workers, and the revolution.

Lenin

A Russian revolutionary leader, political theorist, and founder of the Soviet Union, who played a key role in the Bolshevik Revolution of 1917.

Revolutionary Party

A political party that seeks to implement radical changes in society and governance, often through revolutionary means.

French Third Republic

Denotes the republican government of France from 1870, after the fall of the Second Empire, to 1940, when France was occupied by Nazi Germany during World War II.