CONDITIONAL PROBABILITY

Probability (प्रायिकता)|Set Theory (समुच्चय सिद्धांत)|Permutation And Combination In Probability (क्रमचय तथा संचय प्रायिकता में)|Conditional Probability (सशर्त संभाव्यता)|Independent Event (स्वतंत्र घटनाएं)|Questions (प्रश्न)|OMR

A doctor is called to see a sick child. The doctor knows (prior to the visit) that 90% of the sick children in that neighbourhood are sick with the flu, denoted by F ,while 10% are sick with the measles, denoted by M A well-known symptom of measles is a rash, denoted by R. The probability having a rash for a child sick with the measles is 0.95. however, occasionally children with the flu also develop a rash, with conditional probability 0.08. upon examination the child, the doctor finds a rash. The what is the probability that the child has the measles? (A) 91/165 (B) 90/163 (C) 82/161 (D) 95/167

Consider the following statements related to the nature of Bayes' theorem 1. Bayes' theorem is a formula for computation of a conditional probability. 2. Bayes' theorem modifies an assumed probability of an event in the light of a related event which is observed. Which of the statements given above is/are correct ?

7. Ancing 6-year-old college professors, 90% are nonsmokers and 10% are smokers. The probabil- ity of a nonsmoker dying in the next year is 0005 and the probability for smokers is 0.05. Given that one of this group of college professors dies in the next ye r, what is the conditional probability that the professor was a smoker?