Question

In the 2001 population census, information was collected about the number of people in each household, which is denoted by X. It is given that P(X=1)=0.25, P(X=2)=0.32, P(X=3)=0.18, P(X=4)=0.15, P(X=5)=0.07, P(X=6)=0.02 and P(X≥7)=0.01. If R is the probability that there are at most 4 people in the household, what is the value of 100R?

Answer 1

\[
\Pr(X\leq 4) = \Pr(X=0) + \Pr(X=1) + \Pr(X=2) +\Pr(X=3) + \Pr(X=4)
\]

Answer 2

What percent of households are empty?

Answer 3

The term 'household' indicates that a house is occupied. There can be no census return for an unoccupied house. Therefore P(X = 0) = 0