A Clinic advertises that 90% of its patients approved for surgery have successfu

Question

A Clinic advertises that 90% of its patients approved for surgery have successful surgeries.

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?

Explain and show how you arrived at this answer

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.) Explain and show how you arrived at this answer.

Explanation / Answer

As clinic advertise that success rate is 90% that means that out of 10 patients they successfully treats 9 of them.

As the question entails that we will randomly do a simulation for 10 digits from 0 to 9. Probability of ay digit coming is same =1/10 = 0.10. so if we give success for integers values 0 to 8 that makes success 9/10 = 0.9 probable and failure 1/10 = 0.10 probable.

SO this simuation method is pretty good.

Here is excel we applied the random digit assingmnet model and when we receive 0 to 8 value, we put it as an success and when we get 9, we put it as a failure (F)

Where I used RANDBETWEEN(0, 9) function and get following results.

The function is IF(A2 = 9, F,S) that means if it true than it shows F ad if false it shows S.

so there are 2 failures and 13 success out of 15 results.

Random Numbers (0-9) Success/Failure 6 S 2 S 9 F 1 S 1 S 2 S 9 F 6 S 4 S 5 S 6 S 2 S 2 S 7 S 7 S

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