question 1. E,F,G,H,I,J please SHOW ALL WORK. ANSWERS BY THEMSELVES WITHOUT WORK
ID: 3376230 • Letter: Q
Question
question 1. E,F,G,H,I,J please
SHOW ALL WORK. ANSWERS BY THEMSELVES WITHOUT WORK COUNT FOR NOTHING 1. A consumer survey randomly selects 2000 people and asks them about their income and their television-watching habits. The results are shown in the following table numbers within the table reflect people in various categories of TV-watching and 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. Hours of TV Watched per Weak Annual Income 0-8 9-15 16-22 23-30Mors than 30 TOTAL Less than $ 12,000 S 12.000-$ 24,999 S 25,000-$ 39,999 40,000-$ 59,999 $ 60,000 or more 168 385 96 541 653 2000 TOTAL 143 211 336 857 What is the probability that the winner of the grand prize: a. Eams at least $ 25,000 2 b. Watches TV at least 16 hours each week ? cEams at least $ 40,000 and watches TV at least 23 hours a weck ? d. Earns less than $ 40,000 or watches TV at most 22 hours each week e. Watches TV at most 22 hours each week given that he/she earns less than S 60,000? f. Watches TV no more than 30 hours each week ? g. Watches TV for at most I5 hours each week or cams at least $ 25,0007 h. Doesn't earn at least S 25,000 per year ? i. Neither watches TV for over 8 hours nor earns above $ 25,0007 j. Eams at least $ 12,000 given that he'she watched TV at least 16 hours per week ?Explanation / Answer
e) P(at most 22 hours | less than 60000) = P(at most 22 hours and less than 60000)/P(less than 60000)
= (70 + 151 + 284)/1748 = 0.2889
f) P(no more than 30 hours) = (143 + 211 + 336 + 657)/2000 = 0.6735
g) P(at most 15 hours or at least 25000) = P(at most 15 hours) + P( at least 25000) - P(at most 15 hours and at least 25000) = (143 + 211)/2000 + (654 + 541 + 252)/2000 - 299/2000 = 0.751
h) P(doesn't earn at least 25000) = 1- P(earn at least 25000)
= 1 - (654 + 541 + 252)/2000
= 0.2765
i) P(neither over 8 hours nor earns above 25000) = 1 - P(over 8 hours or earns above 25000)
= 1 - (P(over 8 hours) + P(earns above 25000) - P(over 8 hours and earns above 25000)
= 1 - (1857/2000 + 1447/2000 - 1325/2000)
= 0.0105
j) P(at least earn 12000 | at least 16 hours) = P(at least earn 12000 and at least 16 hours)/P(at least 16 hours)
= (356 + 604 + 425 + 119)/(336 + 657 + 653) = 0.9137
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