Question

the partially filled contingency table gives the relative frequencies of the data on age (in years) and sex from the residents of a retirement home.

	60-69	70-79	over 79	total
female	0.2	0.1	0.3
total				1

what is the probability that a resident is male and in the age group 60-79?
a. 0.31 c. 0.29
b. 0.28 d. 0.305

please select the best answer from the choices provided

Explanation:

Step1: Identify the relevant cells

We need the probability that a resident is male and in 60 - 79 or male and in 70 - 79? Wait, no, the question is male and in age group 60 - 79? Wait, no, the age groups are 60 - 69, 70 - 79, Over 79. Wait, the question is "male and in the age group 60 - 79"? Wait, 60 - 79 would be 60 - 69 and 70 - 79. Wait, let's check the table.

Male in 60 - 69: 0.19, Male in 70 - 79: 0.1. So to find male and in 60 - 79 (which is 60 - 69 or 70 - 79), we add these two probabilities.

Step2: Add the probabilities

So we calculate \(0.19 + 0.1\).

\(0.19+0.1 = 0.29\)

Answer:

c. 0.29