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 above 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?

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 how yu arrived at the answer

Explanation / Answer

tHE 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

so, Here the Expected value = 15 * 0.1 = 1.5

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

Random Numbers (0-9) Success/Failure 5 S 0 S 1 S 6 S 6 S 0 S 4 S 8 S 7 S 9 F 9 F 1 S 6 S 3 S 7 S

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