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
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfb948e5-ef25-4106-bed1-bb1e7ba33bae%2F0a6d3e11-e9dd-47de-8a0c-4a5a0e2c554d%2F7fnvcje_processed.jpeg&w=3840&q=75)
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