SOLUTION: The probability that a particular rotator cuff surgery is successful is 0.9. (Source: The Orthopedic Center of St. Louis) 1. Find the probability that three rotator cuff surgeries

Question 1200040: The probability that a particular rotator cuff surgery is successful is 0.9. (Source: The Orthopedic Center of St. Louis) 1. Find the probability that three rotator cuff surgeries are successful. 2. Find the probability that none of the three rotator cuff surgeries are successful. 3. Find the probability that at least one of the three rotator cuff surgeries is successful. a. Decide whether to find the probability of the event or its complement. b. Use the Multiplication Rule to find the probability. If necessary, use the complement. c. Determine if the event is unusual. Explain.
Answer by ikleyn(52879) (Show Source): You can put this solution on YOUR website!
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(1)  The probability that three rotator cuff surgeries are successful is  

         P = 0.9*0.9*0.9 =  = 0.729.    ANSWER



(2)  The probability that none of the three rotator cuff surgeries are successful is

         P = (1-0.9)*(1-0.9)*(1-0.9) = 0.1*0.1*0.1 =  = 0.001.    ANSWER




(3)  The probability that at least one of the three rotator cuff surgeries is successful is

         P = 1 - 0.1*0.1*0.1 = 1 - 0.001 = 0.999.    ANSWER

Solved. All the formulas are self-explanatory.

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