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LASIK surgery complications. According to studies, 1% of
Chapter 4, Problem 104E(choose chapter or problem)
Problem 104E
LASIK surgery complications. According to studies, 1% of all patients who undergo laser surgery (i.e., LASIK) to correct their vision have serious postlaser vision problems (All About Vision, 2012). In a sample of 100,000 patients, what is the approximate probability that fewer than 950 will experience serious postlaser vision problems?
Questions & Answers
QUESTION:
Problem 104E
LASIK surgery complications. According to studies, 1% of all patients who undergo laser surgery (i.e., LASIK) to correct their vision have serious postlaser vision problems (All About Vision, 2012). In a sample of 100,000 patients, what is the approximate probability that fewer than 950 will experience serious postlaser vision problems?
ANSWER:
Solution :
Step 1 of 2:
Let x = number of patients who undergo laser surgery who have serious post-laser vision problem in 100,000 trials.
Then x is a binomial random variable with n = 100,000 and p = 0.01, q = 1-p = 1-0.01 = 0.99.
That is,
X B(n, p)
X B(100,000, 0.01)
We know that the probability mass function of binomial distribution is:
x = 0,1,2,...,n.