We appreciate your visit to Surgery Satisfaction Survey Surgery Type Satisfied Dissatisfied Total Knee 70 25 95 Hip 90 15 105 Total 160 40 200 The table shows survey results. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer: D) 14.3%
Step-by-step explanation:
Conditional probability formula:
[tex]P(B |\text{given that A}) =\dfrac{P(A\ and\ B)}{P(A)}[/tex]
So, The probability he or she was dissatisfied, given that he or she had hip surgery = [tex]\dfrac{\text{Number of persons are dissatisfied and has hip surgery}}{\text{Total persons have hip surgery}}[/tex]
From the table, the number of persons who are dissatisfied and has hip surgery = 15
Total persons have hip surgery = 105
Required probability = [tex]\dfrac{15}{105}\approx0.143[/tex]
In percent, Required probability = 14.3%
Correct option D) 14.3%
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Final answer:
The probability that a person was dissatisfied with their hip surgery is calculated by dividing the number of dissatisfied hip surgery patients (15) by the total number of hip surgery patients (105). This results in approximately 14.3%.
Explanation:
To find the probability that a person was dissatisfied with their hip surgery, given that they have had hip surgery, we use the data provided in the Surgery Satisfaction Survey. The total number of patients who had hip surgery is 105, and out of those, 15 were dissatisfied. The probability (P) can be calculated using the formula P(Dissatisfied|Hip surgery) = Number of dissatisfied hip surgery patients / Total number of hip surgery patients.
So, the probability is P(Dissatisfied|Hip surgery) = 15/105 = 0.142857. To express this as a percentage, we multiply by 100, which gives us approximately 14.3%. Therefore, the answer is D) 14.3%, which is the probability that a randomly selected person was dissatisfied with hip surgery.
