Question
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)
In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one
of the surgeons is selected at random, which of the following is closest to the probability that the selected surgeon is an orthopedic surgeon whose indicated
professional activity is research?
- 0.122
- 0.196
Hint:
Hint:- Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
The correct answer is: 0.122
Solution:- Option A is correct.
After analysis of table given in the question according to the table, 74 orthopedic surgeons indicated that research is their major professional activity.
Since a total of 607 surgeons completed the survey, it follows that the probability that the randomly selected surgeon is an orthopedic surgeon whose indicated major professional activity is research is 74 out of 607,
![equals 74 divided by 607 almost equal to 0.122](data:image/png;base64,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)
Options B, C, and D are incorrect and may be the result of finding the probability that
- For option B the randomly selected surgeon is an orthopedic surgeon whose major professional activity is teaching .
- For option C an orthopedic surgeon whose major professional activity is either teaching or research.
- For option D a general surgeon or orthopedic surgeon whose major professional activity is research.
Therefore the correct option is Option A) 0.122
Related Questions to study
![1 half left parenthesis 2 x plus y right parenthesis equals 21 over 2](data:image/png;base64,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)
![y equals 2 x](data:image/png;base64,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)
The system of equations above has solution (x, y). What is the value of x ?
![1 half left parenthesis 2 x plus y right parenthesis equals 21 over 2](data:image/png;base64,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)
![y equals 2 x](data:image/png;base64,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)
The system of equations above has solution (x, y). What is the value of x ?
In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?
In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?
Which of the following is equivalent to the sum of the expressions a2 - 1 and a + 1 ?
Which of the following is equivalent to the sum of the expressions a2 - 1 and a + 1 ?
Horsepower and watts are units of measure of power. They are directly proportional such that 5 horsepower is equal to 3730 watts. How much power, in watts, is equal to 2 horsepower?
Horsepower and watts are units of measure of power. They are directly proportional such that 5 horsepower is equal to 3730 watts. How much power, in watts, is equal to 2 horsepower?
2(p + 1) + 8(p - 1) = 5p
What value of p is the solution of the equation above?
2(p + 1) + 8(p - 1) = 5p
What value of p is the solution of the equation above?
![fraction numerator a minus b over denominator a end fraction equals c](data:image/png;base64,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)
In the equation above, if a is negative and b is positive, which of the following must be true?
![fraction numerator a minus b over denominator a end fraction equals c](data:image/png;base64,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)
In the equation above, if a is negative and b is positive, which of the following must be true?
![square root of k plus 2 end root minus x equals 0](data:image/png;base64,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)
In the equation above, k is a constant. If x = 9, what is the value of K ?
![square root of k plus 2 end root minus x equals 0](data:image/png;base64,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)
In the equation above, k is a constant. If x = 9, what is the value of K ?
![square root of x plus 28 end root minus 2 square root of x plus 1 end root equals 0](data:image/png;base64,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)
What value of x satisfies the equation above?
Note:
Whenever we encounter a square root while solving an equation, our first attempt should be to somehow remove the square root by squaring both sides and get a simpler equation to solve. Another way to find the value of x which satisfies the equation would be to simply put the values in the options in the equation and check if it is satisfied
![square root of x plus 28 end root minus 2 square root of x plus 1 end root equals 0](data:image/png;base64,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)
What value of x satisfies the equation above?
Note:
Whenever we encounter a square root while solving an equation, our first attempt should be to somehow remove the square root by squaring both sides and get a simpler equation to solve. Another way to find the value of x which satisfies the equation would be to simply put the values in the options in the equation and check if it is satisfied