There are two pictures, please help me the #5 h-i questions. Thank you 5. A and

Question

There are two pictures, please help me the #5 h-i questions. Thank you

5. A and their television-watching habits. The results are shown in the following table. The numbers within the table reflect people in various categories of TV-watching and annual income. As a reward for participation, each person is given a small prize. Then the names are placed in a box and one name is randomly selected to receive the grand prize of a free vacation trip to Edgewood. consumer survey randomly selects 2000 people and asks them about their income Hours of TV Watched per Week Annual Income 0-8 9-15 16-22 23-30 More than 30 TOTAL Less than $12,000 11--15 T 14 120 101928 168 $12,000- $24,999 $25,000- $39,999 40,000-$59,999 $60,000 or more 232 327 85 160 165 32 541 252 100 31 73 52 TOTAL 143 211 336 657 2000 What is the probability that the winner of the grand prize:

Explanation / Answer

Ans:

h)P(does not earn atleast 25000)=P(<25000)=(168+385)/2000=553/2000=0.2765

i)First calculate

P(>8 or >25000)=P(>8)+P(>25000)-P(>8 and >25000)

=((2000-143)/2000)+(2000-553)/2000-(2000-553-18-31-73)/2000

=(1857/2000)+(1447/2000)-(1325/2000)

=1979/2000

=0.9895

Now,

P(neither >8 nor >25000)=1-0.9895=0.0105

j)P(>=12000/>=16 hrs)=P(>=12000 and >=16)/P(>=16)

Now,

P(>=12000 and >=16)=(336+657+653-8-14-120)/2000=1504/2000=0.752

P(>=16)=(336+657+653)/2000=1646/2000=0.823

So,

P(>=12000/>=16 hrs)=P(>=12000 and >=16)/P(>=16)=0.752/0.823=0.9137

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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