Critical Thinking: Simulation Central Eye Clinic advertises that 90% of its pati

Question

Critical Thinking: Simulation 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? (b) Use the random digit assignment model of part (a) to simulate the outcomes of 15 trials Begin at column 1, line 2. (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? Using this digit assignment, repeat part (b).

Explanation / Answer

(a) digits for success is 0 to 8 and 9 for failure

So total number of digits = 10

and success number of digits = 9

So, successful outcome is = 9/10 i.e 90%

(b) The outcome of 15 trials are listed below

Hence success probability is = 15/15 = 1

(c) It is irrespective of the digits assigned . It only depends upon the length of the assigned digits!

So here also length from 1 to 9 is 9 , hence it also simulate 90% successful outcomes!

repeating step b we get 15 outcomes

Hence success probability is = 14/15 = 0.93

NOte: Here excell tool "=RANDBETWEEN(0,9)" is used to simulate numbers!

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2 3 8 0 0 6 3 2 7 5 1 2 1 1 1

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