(Devore: Section 2.3 #41) An ATM personal identification number (PIN) consists of four digits,each a 0, 1, 2, ..., 8 or 9, in succession.(a) How many different possible PINs are there if there are no restrictions on the choice of digits?(b) According to a representative at the author's local branch of Chase Bank, there are in factrestrictions on the choice of digits. The following choices are prohibited: (i) all four digitsidentical (ii) sequences of consecutive ascending or descending digits, such as 6543 (iii) anysequence starting with 19 (birth years are too easy to guess). So if one of the PINs in (a) israndomly selected, what is the probability that it will be a legitimate PIN (that is, not be oneof the prohibited sequences)?(c) Someone has stolen an ATM card and knows that the first and last digits of the PIN are 8 and1, respectively. He has three tries before the card is retained by the ATM (but does not realizethat). So he randomly selects the 2nd and 3rd digits for the first try, then randomly selectsa different pair of digits for the second try, and yet another randomly selected pair of digitsfor the third try (the individual knows about the restrictions described in (b) so selects onlyfrom the legitimate possibilities). What is the probability that the individual gains access tothe account?(d) Recalculate the probability in (c) if the first and last digits are 1 and 1, respectively.

a) There are 10 possible digits (0-9) for each of the four positions in the PIN, so there are 10^4 =…

Answered: Devore Section 2.3 #41) An ATM personal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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