question archive 1) Consider the chart below of living arrangements
Subject:MathPrice:2.87 Bought7
1) Consider the chart below of living arrangements. What is the probability that a randomly selected person will have a condo and be married? Write answer as a decimal to the thousandths place.
Apartment Condo House Total
Single 206 62 34 302
Married 61 50 122 233
Total 267 112 156 535
2) Consider the chart below of living arrangements. What is the probability that a randomly selected person will have an apartment or be married? Write answer as a decimal to the thousandths place.
Apartment Condo House Total
Single 206 62 34 302
Married 61 50 122 233
Total 267 112 156 535
Answer:
1) 0.045 (approximately)
2) 0.531 (approximately)
Step-by-step explanation
1) Probability of a random person to be both married and own a condo= Probability of married people owning a living arrangement* Probability of people owning a condo
?∴? Probability of a random person to be both married and own a condo
=?61+50+122+233/267+112+156+535 ?? * 62+50/?267+112+156+535??
= ?456/1070?? * ?112/1070??
= 0.045
2) Probability of a random person to be both married and own a condo= Probability of married people owning a living arrangement + Probability of people owning a condo
?∴? Probability of a random person to be both married and own a condo
=61+50+122+233/?267+112+156+535?? + 62+50/?267+112+156+535??
=456/ ?1070?? + ?112/1070??
= 0.531