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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)
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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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?
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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