LASIK surgery complications. According to recent studies, 1% of all patients who

Question

LASIK surgery complications. According to recent studies, 1% of all patients who undergo laser surgery (i.e., LASIK) to correct their vision have serious post-laser vision problems (All About Vision, 2006). In a random sample of 100,000 LASIK patients, let x be the number who experience serious post-laser vision problems a. Find E(x) b. Find Var(x) C. Find the z-score for x= 950 d. Find the approximate probability that fewer than 950 patients in a sample of 100,000 will experience serious post-laser vision problems

Explanation / Answer

a) E(X) =np =100000*0.01 =1000

b)Var(X) =(np(1-p)) =990

c)z score =(X-mean)/std deviaiton =(950-1000)/(990)1/2=-1.5891

d)approximate probability corresponding to above z score =0.0560

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