In an office three employees Vinay, Sonia and Iqbal process incoming copies of a certain form. Vinay process 50% of the forms. Sonia processes 20% and Iqbal the remaining 30% of the forms. Vinay has an error rate of 0.06, Sonia has an error rate of 0.04 and Iqbal has an error rate of 0.03Based on the above information answer the following:(i) The conditional probability that an error is committed in processing given that Sonia processed the form is : a) 0.0210 b) 0.04 c) 0.47 d) 0.06(ii)The probability that Sonia processed the form and committed an error is : a) 0.005 b) 0.006 c) 0.008 d) 0.68(iii)The total probability of committing an error in processing the form is a) 0 b) 0.047 c) 0.234d) 1(iv) The manager of the company wants to do a quality check. During inspection he selects a form at random from the days output of processed forms. If the form selected at random has an error, the probability that the form is NOT processed by Vinay is : a) 1 b) \(\frac{30}{47}\)c) \(\frac{20}{47}\)d) \(\frac{17}{47}\)(v) Let A be the event of committing an error in processing the form and let E1, E2 and E3 be the events that Vinay, Sonia and Iqbal processed the form. The value of \(\sum_{i=1}^{3} P(E_i|A)\) is a) 0 b) 0.03 c) 0.06 d) 1