2 Elsa is creating a new FB account, and doesn't know what to make h password. She decides to generate a 14-character password by sele independently and uniformly at random from {a, b, ..., z} U {A, B, . Characters can be repeated. (a) What is the probability that exactly 7 of the characters are dig (b) What is the expected number of digits in the password? (c) What is the variance of the number of digits in the password?
2 Elsa is creating a new FB account, and doesn't know what to make h password. She decides to generate a 14-character password by sele independently and uniformly at random from {a, b, ..., z} U {A, B, . Characters can be repeated. (a) What is the probability that exactly 7 of the characters are dig (b) What is the expected number of digits in the password? (c) What is the variance of the number of digits in the password?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:3 Elsa is creating a new FB account, and doesn't know what to make her
password. She decides to generate a 14-character password by selecting each character
independently and uniformly at random from {a, b, . . . ,
Characters can be repeated.
z} U {A, B, ..., Z} U {0, 1, ..., 9}.
(a) What is the probability that exactly 7 of the characters are digits?
(b) What is the expected number of digits in the password?
(c) What is the variance of the number of digits in the password?
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