Ask Question
20 September, 15:45

Assume there is probability of 0.36 that a U. S. soldier who served in the last decade has served in Iraq. If a soldier served in the last decade and was in Iraq, suppose there is a probability of 0.14 the person developed lung problems. However, if the soldier served in the last decade and was not in Iraq, suppose there is a 0.10 probability the person developed lung problems. If a soldier who served in the last decade developed lung problems, what is the probability the soldier served in Iraq?

+4
Answers (1)
  1. 20 September, 18:42
    0
    0.440559

    Step-by-step explanation:

    To find the probability of having a soldier from Iraq that had lung problems, we multiply the 2 probabilities, so 0.36*0.14 = 0.0504

    The probability of a soldier serving not in Iraq and having lung problems is 0.64 (serving in Iraq is 0.36, so not serving in Iraq is 1 - 0.36 = 0.64) times 0.1 = 0.064.

    If we sum up these two probabilities, we have the probability of a soldier having lung problems (0.0504+0.064 = 0.1144).

    Now, to know the probability of a soldier with a lung problem having served on Iraq, we divide the probability of serving in Iraq and having lung problems (0.0504) by the probability of having lung problem (0.1144):

    0.0504/0.1144 = 0.440559
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Assume there is probability of 0.36 that a U. S. soldier who served in the last decade has served in Iraq. If a soldier served in the last ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers