Question 4 (20 Marks) Households in a city in New South Wales are classified acc

Question

Question 4 (20 Marks) Households in a city in New South Wales are classified according to suburb and income level, as described in the table below Income Suburb Lake Vievw Town Green Forest 500 1,000 2,000 Low Medium High 950 1,700 1,200 1,300 500 850 You plan to run a study randomly selecting one household from this city. (a) What is the probability that the household is a medium income household? (4 Marks) b) What is the probability that the household lives in the suburb "Green Forest"? (4 Marks) (c) What is the probability that the household lives in the suburb Town" and has high income?(4 Marks) d) What is the probability that the household has a medium income level or lives in the suburb "Lake View? (4 Marks) e What is the probability that the household has a high income given they live in the suburb Lake View? (4 Marks)

Explanation / Answer

Soution:

total number of suburb households = 10000

( a )

the probability that the house hold are medium income house holds = 3850 / 10000 = 0.3850

( b )

the probability that the house hold lives in green forest = 4050 / 10000 = 0.4050

( c )

the probability that the house hold lives in "town " and has high income = 500 / 10000 = 0.0500

( d )

the probability that the house hold has medium income level or lives in " lake view" = 5650 / 10000 = 0.5650

( e )

the probability that the house hold has high income level or lives in " lake view" = 1300 / 2750 = 0.4727

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.