Question

I am lost on this one and not sure how to solve it. Thanks for the help. Business Analysis 2372

A website for Umbrella Bank allows customers to perform many routine banking tasks such as paying bills, transferring money, and tracking purchases. The site requires users to sign in with a username and password. For security reasons, after 5 failed sign-in attempts over a 15-minute span, the bank locks the customer's online account and requires that he or she contact the bank to obtain a new password.

Joe is a customer of Umbrella Bank who can't remember his password exactly. The random experiment is his attempt to sign in to his online account over the next 15 minutes before being locked out of his account. Let F indicate a failed sign-in attempt and L indicate a successful sign-in attempt. What is the sample space in terms of F and L?

		S = {L,FL, FFL, FFFL, FFFFL,FFFFF}
		S = {F,L}
		S = {L,FL, FFL, FFFL, FFFFL,FFFFFL, FFFFFFL}
		S = {L,FLL, FFLL, FFFLLLL, FFFFLLLLL,FFFFFLLLLLL}
		S = {L,FL, FFL, FFFL, FFFFL,FFFFFL, ... }

Answer 1

Option-A) S = {L,FL, FFL, FFFL, FFFFL,FFFFF}

L -> a successful sign-in first attempt

FL -> failed sign-in first attempt and successful sign-in second attempt

FFL -> failed sign-in first two attempts and successful sign-in third attempt

FFFL -> failed sign-in first three attempts and successful sign-in fourth attempt

FFFFL -> failed sign-in first four attempts and successful sign-in fifth attempt

FFFFF -> 5 failed sign-in attempts and user needs to contact the bank to obtain a new password