A new cataracts removal procedure for persons older than 60 years of age with degrading vision from formation of cataracts has been tested with a success rate of 95%. This means that 95% of procedures result in improved vision. Without the procedure patient vision will degrade, and among the 5% whose vision is not improved, degradation will stop except 0.1% of patients undergoing the procedure whose vision will continue to degrade. Quality vision, in Pinehurst, offers this procedure to its patients. In June, 25 people are scheduled to undergo the procedure. Answer the following questions about the probabilities associated with these 25 scheduled procedures.What is the percent probability that at least 1 person will suffer degraded vision among these 25 procedures? Round to nearest hundredth.What is the percent probability that all 25 patients will have a successful procedure? Round to nearest hundredth.What is the expected number of procedures among the 25 procedures that will be successful? Truncate any decimal fraction.What is the standard deviation of this expected value? Round to nearest hundredth.Graph the distribution of the random discrete variable, “number of successes,” X, for these 25 procedures.

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Answered: A new cataracts removal procedure for…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A new cataracts removal procedure for persons older than 60 years of age with degrading vision from formation of cataracts has been tested with a success rate of 95%. This means that 95% of procedures result in improved vision. Without the procedure patient vision will degrade, and among the 5% whose vision is not improved, degradation will stop except 0.1% of patients undergoing the procedure whose vision will continue to degrade. Quality vision, in Pinehurst, offers this procedure to its patients. In June, 25 people are scheduled to undergo the procedure. Answer the following questions about the probabilities associated with these 25 scheduled procedures.

What is the percent probability that at least 1 person will suffer degraded vision among these 25 procedures? Round to nearest hundredth.
What is the percent probability that all 25 patients will have a successful procedure? Round to nearest hundredth.
What is the expected number of procedures among the 25 procedures that will be successful? Truncate any decimal fraction.
What is the standard deviation of this expected value? Round to nearest hundredth.
Graph the distribution of the random discrete variable, “number of successes,” X, for these 25 procedures.

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