6. Assuming the test result and the TB status are independent, calculate the expected probability of both TB being present and a positive X-ray test.} 7. Under the same assumption, calculate the expected probability of both TB being absent and a positive X-ray test.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Was wondering how to calculate expected probabilities given this information
![11.1.4 Exercises
Test for TB
TB absent
TB present
Negative
1739
8
Positive
51
22](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b73e1ba-dae6-4888-a690-1f448898bb07%2Fe83cc257-efed-42a7-9221-d8a79787ad55%2Fgvb5bcd_processed.png&w=3840&q=75)
![6. Assuming the test result and the TB status are independent, calculate the expected probability of
both TB being present and a positive X-ray test.}
7. Under the same assumption, calculate the expected probability of both TB being absent and a
positive X-ray test.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b73e1ba-dae6-4888-a690-1f448898bb07%2Fe83cc257-efed-42a7-9221-d8a79787ad55%2Fiq2udvl_processed.png&w=3840&q=75)
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