solution for this questions

Unit-3 5. A) Fragrance Soaps Pvt. Lid conducted a survey to find out preference for its Active brand of soaps in four cities of India. The marketing research responses are shown in the following table: City Prefer Mumbai Delhi Chennai Kolkata Yes 24 10 8 14 No 30 6 22 12 No opinion 28 18 12 16 (i)/ Determine whether preference of customers is independent of their location (2) (ii)/ Given that a customer is located in Delhi, what is the probability that he/she has no opinion? (2) (ijn) If a customer is selected at random, what is the probability that he/she belongs to Kolkata or . doesn't prefer the brand (1) (B) In a railway reservation office, two clerks are engaged in checking reservation forms. On an average, the first clerk checks 55 percent forms, while the second checks the remaining. First clerk has an error rate of 0.03 and second has an error rate of 0.02. A reservation form is selected at random from the total number of forms checked during a day and is discovered to have an error. Find the probabilities that it was checked by first and second respectively. (5) OR