Question

g.pr.10.3 (mc)

a study was done on 3300 single men and women to see whether they preferred to live in a house or condominium. the results between gender and housing preference were independent. find the missing values for the males housing preference for house and condo.

\\(\

$$\begin{array}{lccc} & \\text{house} & \\text{condo} & \\text{total} \\\\ \\text{male} & & & 2000 \\\\ \\text{female} & 624 & 676 & 1300 \\\\ \\text{total} & & & 3300 \\end{array}$$

\\)

( ) 1000; 1000
( ) 966; 1034
( ) 624; 676
( ) 960; 1040

Explanation:

Calculate the marginal probabilities of housing preference

$$
LATEXBLOCK0
$$

Apply independence condition to males

$$
LATEXBLOCK1
$$

Compute the missing values for males

$$
LATEXBLOCK2
$$

Answer:

• (A) 1000; 1000
• (B) 966; 1034
• (C) 624; 676
• (D) 960; 1040 (Correct answer)