Central Eye Clinic advertises that 90% of its patients approved for LASIK surger

Question

Central Eye Clinic advertises that 90% of its patients approved for LASIK surgery to correct vision problems have successful surgeries. (a) In the random number table, assign the digits 0 through 8 to the event "successful surgery" and the digit 9 to the event "unsuccessful surgery." Does this assignment of digits simulate 90% successful outcomes? Yes No (b) Use the random digit assignment model of part (a) to simulate the outcomes of 15 trials. Begin at column 1, line 2. (Enter S for success and F for failure, separated by commas.) (c) Your friend assigned the digits 1 through 9 to the event "successful surgery" and the digit 0 to the event "unsuccessful surgery." Does this assignment of digits simulate 90% successful outcomes? Yes No Using this digit assignment, repeat part (b). (Enter S for success and F for failure, separated by commas.)

Explanation / Answer

a) As there are total 10 digits and we are assigning digits 0 to 8 as success, then the probability of success would be:

9/10 = 0.9 and therefore the probability of failure would be 0.1.

Therefore yes this assignment of digit does simulate 90% successfull outcome.

b) Using the above simulation model, the following simulation aws produced,

S,S,S,S,F,S,S,S,F,S,S,S,S,S,S

c) As there are total 10 digits and we are assigning digits 1 to 9 as success, then the probability of success would be:

9/10 = 0.9 and therefore the probability of failure would be 0.1.

Therefore yes this assignment of digit does simulate 90% successfull outcome.

d) Using the above simulation model, the following simulation aws produced,

S,S,S,S,S,S,S,S,F,S,S,S,S,S,F

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