3) Using types of minutiae points of a fingerprint to obtain probabilities to identify individuals was first suggested by Galton in 1892. Pr(fingerprint configuaration) = 1 × 16 × ( 1 256 24 ) 1 2 (a)Evaluate this probability writing your answer in scientific notation. In 1930, Pearson argued that this possibility was more accurately found using the following calculation. Pr(fingerprint configuration) = 1 1 256 × ( 16 × 1 24 36) (b) Calculate this probability writing your answer in scientific notation. Stoney et al in 1985 came up with a quite different and even more accurate formula. Pr(fingerprint configuration) = n × 0.6 × (0.5 × 10−3 5 N , where N is the number of minutae on an average fingerprint. ) (c)Evaluate this probability when N=12 writing your answer in scientific notation. (d)Evaluate this probability if N=36 writing your answer in scientific notation. Explain 4) (a) Using Galton's fingerprint probability, would a 7 character password as described in 1 (c) be more secure that a fingerprint verification? Justify your answer. (b) Would your answer be the same if Pearson's fingerprint probability was used instead? Justify your answer. Elaborate 5) How many particular characteristics using the formula in 2 (a) would need to be compared to be more secure than a computer password as described in 1(c)? Evaluate 6) (a) Why is fingerprinting being used more often for verification (e.g. access control, time and attendance at work, alarm activation/deactivation, safety deposits, club membership privileges, border control, parent entry to preschool, access to self-serve facilities). (b) If fingerprinting is more secure than PINs of Passwords, why aren't fingerscans used more extensively for verification? (c) Do you think that fingerprint technology will ever replace PINs and Passwords? Justify your answer.