just questions 1.1-1.3 thank you with explanation too The following data summari
ID: 3206420 • Letter: J
Question
just questions 1.1-1.3 thank you with explanation too
The following data summarizes the results from a breathalyzer effectiveness test conducted on 200 test subjects. Suppose we sample a random individual who took part in this study. Let A denote the event that our randomly selected individual was intoxicated. Let B denote the event that our randomly selected individual tested positive. What is the probability of this individual being one of those who tested positive? In other words, what is P(B)? What is P(A and B)? In other words, What is the probability of this individual being both one of those who tested positively and also being one of those who was intoxicated? OK, so what if you were asked to compute P(A|B)? In other words, given that our randomly selected subject urn one who tested positive, what is the probability that the subject was intoxicated?Explanation / Answer
1.1 The probability of an individual to have tested positive, P(B)=number of individuals tested positive/Total sample
=(140+10)/(140+10+5+45)
=150/200
=0.75 (ans)
1.2 P(A and B)=P(A)*P(B), where A and B are two independent events.
=(140+5)/200*150/200
=0.54375 (ans)
1.3 Using conditional probability,
P(A|B)=P(B and A)/P(B)
=0.54375/0.75
=0.725 (ans)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.