3. A research group aims to investigate whether women accurately report their weight or not. The table below records the comparison between self-reported weights and actual weights for a large umber (18,639) of female participants. Each cell in the table represents the number of participants falling in the respective category. Accuracy Category Report-d weight within 3 bs. Age Under reported by more than 7 Ibs. Under reported by between 4 and 7 bs. Over reported by 4 or more pounde <45 years 297 373 1.994 207 45-54 years 763 902 4130 510 55 64 years 677 966 4,383 545 65 years 263 444 2.265 COE

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3. A research group aims to investigate whether women accurately report their weight or not. The table below
records the comparison between self-reported weights and actual weights for a large mumber (18,639) of female
participants. Each cell in the table represents the number of participants falling in the respective category.
Accuracy Category
Reported
weight within
3 bs
Age
Under
reported by
more than 7
Ibs.
Under
reported by
between 4 and
7 bs.
Over reported
by 4 or more
pounds
<45 years
297
373
1.994
207
45-54 years
763
902
410
510
55 64 years
677
966
4,383
545
65 years
263
444
2.265
(a) Are the events that a randomly selected female participant under-reported by more than 7 Ibs. and that a
randomly selected female participant is at least 65 years old independent or dependent ? Justify your answer by
computing relevant probabilities.
(b) What's the probability that a randomly selected female participant reported her weight within 3 lbs. if it's
known that she's less than 45 years old ?
4. Suppose that 7 in every 10 auto accidents involve a single vehicle. If 15 auto accidents are randomly selected,
compute the probability that at most 4 of them involve a single vehicle.
Transcribed Image Text:3. A research group aims to investigate whether women accurately report their weight or not. The table below records the comparison between self-reported weights and actual weights for a large mumber (18,639) of female participants. Each cell in the table represents the number of participants falling in the respective category. Accuracy Category Reported weight within 3 bs Age Under reported by more than 7 Ibs. Under reported by between 4 and 7 bs. Over reported by 4 or more pounds <45 years 297 373 1.994 207 45-54 years 763 902 410 510 55 64 years 677 966 4,383 545 65 years 263 444 2.265 (a) Are the events that a randomly selected female participant under-reported by more than 7 Ibs. and that a randomly selected female participant is at least 65 years old independent or dependent ? Justify your answer by computing relevant probabilities. (b) What's the probability that a randomly selected female participant reported her weight within 3 lbs. if it's known that she's less than 45 years old ? 4. Suppose that 7 in every 10 auto accidents involve a single vehicle. If 15 auto accidents are randomly selected, compute the probability that at most 4 of them involve a single vehicle.
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