Human Visual Inspection x C O www.webassign.net/web/Student/Assignment-Responses
ID: 2922605 • Letter: H
Question
Human Visual Inspection x C O www.webassign.net/web/Student/Assignment-Responses/submit?dep-17076473 Apps 2 Adu t Group Wac t Moun n's Progra Giam Your TR gn in to 32 10. -7 points DevoreStat9 2.E.029 My Notes Ask Your Teacher As of April 2006, roughly 50 million.com web domain names were registered (e.g., yahoo.com) (a) How many domain names consisting of just two letters in sequence can be formed? domain names How many domain names of length two are there if digits as well as letters are permitted as characters? [Note: A character length of three or more is now mandated.] domain names (b) How many domain names are there consisting of three letters in sequence? [Note: All are currently taken.] domain names How many of this length are there if either letters or digits are permitted? domain names (c)How many domain names are there consisting of four letters in sequence? domain names How many of this length are there if either letters or digits are permitted? domain names (d) As of a certain date, 93,586 of the four-character sequences using either letters or digits had not yet been claimed. If a four-character name is randomly selected on that date, what is the probability that it is already owned? (Round your answer to four decimal places.) Need Help?Read It Talk to a TutorExplanation / Answer
(a) Both letters can come in 26 ways
=> 26*26 = 676 domain names.
The ten digits can come in 10 ways making a total of 36
=> 36*36 = 1296 domain names.
(b) All three letters can come in 26 ways
=> 26*26*26 = 17576 domain names.
The ten digits can come in 10 ways making a total of 36
=> 36*36*36 = 46656 domain names.
(c) All four letters can come in 26 ways
=> 26*26*26*26 = 456976 domain names.
The ten digits can come in 10 ways making a total of 36
=> 36*36*36*36 = 1679616 domain names.
(d) Number of domain names claimed = 1679616 - 93586 = 1586030
=> Probability = 1586030 / 1679616 = 0.9443.
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