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University of Texas SDS 321 Midterm Exam 2022
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SDS 321 Midterm 1: Objectives 1-5 Name: UTeid: 1. A password must only contain eight lowercase letters. (Note, there are 26 letters in the alphabet). (a) How many possible passwords are there? 268... (b) John gets randomly assigned the password agjohnjd. He is surprised that it contains his name (agjohnjd). What is the probability of a randomly selected password containing the name “john” somewhere in the word (with no letters interrupting the name)? For john− − −−, there are 264 options. But, john can appear anywhere starting from letter 1, to letter 5... so 5 options. So, 5 × 264 options. But, johnjohn appears twice in this set... so 5×264−1. So, probability is 5×264−1 268 • E for full answer, or if they miss the “-1” (so if they give 5×264 268 = 5 264 ) • M if they don’t include the 5, or don’t transform part b into a probability, or if they mak [Show More]
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