Statistics I2080.15 marksNumerical: Bayes theorem probabilityBayes theorem
Define Baye's theorem. Store A, B and C have 100, 75 and 50 employees and, respectively 70, 60 and 50 percent of these are women. Registration are equally likely among all employees regardless of sex. One employee resigns, and this is woman. What is the probability that she works in store B?
Define Baye's theorem. Store A, B and C have 100, 75 and 50 employees and, respectively 70, 60 and 50 percent of these are women. Registration are equally likely among all employees regardless of sex. One employee resigns, and this is woman. What is the probability that she works in store B? [5]
Store Employees % Women Women Count ---------------------------------------- A 100 70% 70 B 75 60% 45 C 50 50% 25 Total 225 140 Resignations equally likely among all employees. Observed event: the resigning employee is a woman. Find $P(\text{Store B} \mid \text{Woman})$. If $B1, B2, \dots, Bn$ ar...