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A computer system uses passwords that contain exactly 5 characters, and each character is one of the 26 lowercase letters (a–z) or 26 uppercase letters (A–Z) or 10 integers (0–9). Let ? denote the set of all possible passwords, and let A and B denote the events that consist of passwords with only letters or only integers, respectively. Suppose that all passwords in ? are equally likely. Determine the following probabilities. a. P(A|B′) = b. P(A′ ∩ B′) = c. The probability that password contains exactly 2 integers given that it contains at least 1 integer. P =

A computer system uses passwords that contain exactly 5 characters, and each character is one of the 26 lowercase letters (a–z) or 26 uppercase letters (A–Z) or 10 integers (0–9). Let ? denote the set of all possible passwords, and let A and B denote the events that consist of passwords with only letters or only integers, respectively. Suppose that all passwords in ? are equally likely. Determine the following probabilities. a. P(A|B′) = b. P(A′ ∩ B′) = c. The probability that password contains exactly 2 integers given that it contains at least 1 integer. P =

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
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A computer system uses passwords that contain exactly 5 characters, and each character is one of the 26 lowercase letters (a–z) or 26 uppercase letters (A–Z) or 10 integers (0–9).

Let ? denote the set of all possible passwords, and let A and B denote the events that consist of passwords with only letters or only integers, respectively.

Suppose that all passwords in ? are equally likely.

Determine the following probabilities.

a. P(A|B′) =

b. P(A′ ∩ B′) =

c. The probability that password contains exactly 2 integers given that it contains at least 1 integer. P = 

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