Answer to Question #174693 in Statistics and Probability for Shin Chan

Question

A recent survey showed that 60 percent of the population own some kind of microcomputer and 40 percent do not. Market experts predict that in a year 10 percent of the non owners will become owners, and 1/100 of one percent of the owners will become nonowners.

What is the predicted steady state for the next year?

Answer 1

Let,

Total population = x

GIVEN:

population own microcomputers= 0.6x

population do not own microcomputers=0.4x

AFTER A YEAR STEADY STATE ACCORDING TO GIVEN CONDITIONS WILL BE :

population own computers

$0.6x+0.04x-0.00006x\\ =0.63994x$

=63.994%

Population do not own :

$0.4x+0.00006x-0.4x \\ =0.36006$

=36.0006%