Homework Help is Here – Start Your Trial Now!
Math
Statistics
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? 10000 ✔ PINS (b) According to a representative at the author's local branch of Chase Bank, there are in fact restrictions on the choice of digits. The following choices are prohibited. 1. all four digits identical 2. sequences of four consecutive ascending or descending digits, such as 6543 3. any sequence starting with 19 (birth years are too easy to guess) So if one of the PINS in (a) is randomly selected, what is the probability that it will be a legitimate PIN (that is, not be one of the prohibited sequences)? X (c) Someone has stolen an ATM card and knows that the first and last digits of the PIN are 5 and 1, respectively. He has three tries before the card is retained by the ATM (but does not realize that). So he randomly selects the 2nd and 3rd digits for the first try, then randomly selects a different pair of digits for the second try, and yet another randomly selected pair of digits for the third try (the individual knows about the restrictions described in (b) so selects only from the legitimate possibilities). What is the probability that the individual gains access to the account? (Round your answer to four decimal places.) (d) Recalculate the probability in (c) if the first and last digits are and 1, respectively. (Round your answer to four decimal places.)

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? 10000 ✔ PINS (b) According to a representative at the author's local branch of Chase Bank, there are in fact restrictions on the choice of digits. The following choices are prohibited. 1. all four digits identical 2. sequences of four consecutive ascending or descending digits, such as 6543 3. any sequence starting with 19 (birth years are too easy to guess) So if one of the PINS in (a) is randomly selected, what is the probability that it will be a legitimate PIN (that is, not be one of the prohibited sequences)? X (c) Someone has stolen an ATM card and knows that the first and last digits of the PIN are 5 and 1, respectively. He has three tries before the card is retained by the ATM (but does not realize that). So he randomly selects the 2nd and 3rd digits for the first try, then randomly selects a different pair of digits for the second try, and yet another randomly selected pair of digits for the third try (the individual knows about the restrictions described in (b) so selects only from the legitimate possibilities). What is the probability that the individual gains access to the account? (Round your answer to four decimal places.) (d) Recalculate the probability in (c) if the first and last digits are and 1, respectively. (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Please answer b, c, and d (p9)

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? 10000 PINS (b) According to a representative at the author's local branch of Chase Bank, there are in fact restrictions on the choice of digits. The following choices are prohibited. 1. all four digits identical 2. sequences of four consecutive ascending or descending digits, such as 6543 3. any sequence starting with 19 (birth years are too easy to guess) So if one of the PINS in (a) is randomly selected, what is the probability that it will be a legitimate PIN (that is, not be one of the prohibited sequences)? X (c) Someone has stolen an ATM card and knows that the first and last digits of the PIN are 5 and 1, respectively. He has three tries before the card is retained by the ATM (but does not realize that). So he randomly selects the 2nd and 3rd digits for the first try, then randomly selects a different pair of digits for the second try, and yet another randomly selected pair of digits for the third try (the individual knows about the restrictions described in (b) so selects only from the legitimate possibilities). What is the probability that the individual gains access to the account? (Round your answer to four decimal places.) (d) Recalculate the probability in (c) if the first and last digits are 1 and 1, respectively. (Round your answer to four decimal places.)
Transcribed Image Text: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? 10000 PINS (b) According to a representative at the author's local branch of Chase Bank, there are in fact restrictions on the choice of digits. The following choices are prohibited. 1. all four digits identical 2. sequences of four consecutive ascending or descending digits, such as 6543 3. any sequence starting with 19 (birth years are too easy to guess) So if one of the PINS in (a) is randomly selected, what is the probability that it will be a legitimate PIN (that is, not be one of the prohibited sequences)? X (c) Someone has stolen an ATM card and knows that the first and last digits of the PIN are 5 and 1, respectively. He has three tries before the card is retained by the ATM (but does not realize that). So he randomly selects the 2nd and 3rd digits for the first try, then randomly selects a different pair of digits for the second try, and yet another randomly selected pair of digits for the third try (the individual knows about the restrictions described in (b) so selects only from the legitimate possibilities). What is the probability that the individual gains access to the account? (Round your answer to four decimal places.) (d) Recalculate the probability in (c) if the first and last digits are 1 and 1, respectively. (Round your answer to four decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS