A. You note that your officer is happy in 60% cases of your calls. You also notice that if he is happy, he accedes to your requests with a probability of 0.4, whereas if he is not happy, he accedes to your request with a probability of 0.1. You call him one day and he accedes to your request. What is the probability of his being happy?

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Chapter1: Combinatorial Analysis
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A. You note that your officer is happy in 60% cases of your calls. You also notice
that if he is happy, he accedes to your requests with a probability of 0.4,
whereas if he is not happy, he accedes to your request with a probability of 0.1.
You call him one day and he accedes to your request.
What is the probability of his being happy?
B. Medical cases histories indicate that different illnesses may produce identical
symptoms. Suppose a particular set of symptoms, "H" occurs only with
probabilities 0.01, 0.005 and 0.02, respectively. The probability of developing
the symptoms H, given illness A, B and C are 0.90, 0.95 and 0.75, respectively.
Assuming that an ill person shows symptoms H
What is the probability that a person has illness A?
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Transcribed Image Text:References Mailings Review View A Aa-E·E· A- A. - Fy E. C Paragraph 81 Document] - Word ell me what you want to do.. AaBbCcDe AaBbCcDc AaBbCc AaBbcct AaB AaBbCcL AaBbCcDo 1 Normal 1 No Spac... Heading 1 Heading 2 Title Subtitle Subtle Em.... 3. 4 H HE A. You note that your officer is happy in 60% cases of your calls. You also notice that if he is happy, he accedes to your requests with a probability of 0.4, whereas if he is not happy, he accedes to your request with a probability of 0.1. You call him one day and he accedes to your request. What is the probability of his being happy? B. Medical cases histories indicate that different illnesses may produce identical symptoms. Suppose a particular set of symptoms, "H" occurs only with probabilities 0.01, 0.005 and 0.02, respectively. The probability of developing the symptoms H, given illness A, B and C are 0.90, 0.95 and 0.75, respectively. Assuming that an ill person shows symptoms H What is the probability that a person has illness A? OM hp Styles X W] I " 27
Expert Solution
Step 1 as per guideline expert have to answer first question only.

given data event A: officer is happy            B: accedes your request P(A) = 0.60P(A') = 1-0.60 = 0.40P(B|A) = 0.4P(B|A') = 0.1P(A|B) = ?

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