Suppose Ethernet physical addresses are chosen at random(using true random bits).(a) What is the probability that on a 1024-host network, twoaddresses will be the same?(b) What is the probability that the above event will occur on oneor more of 220 networks?(c) What is the probability that, of the 230 hosts in all thenetworks of (b), some pair has the same address?Hint: The calculation for (a) and (c) is a variant of that used insolving the so-called Birthday Problem: Given N people, what isthe probability that two of their birthdays (addresses) will be thesame? The second person has probability 1-3 of having a365different birthday from the first, the third has probability 1 365of having a different birthday from the first two, and so on. Theprobability that all birthdays are different is thus2(1-365)×(1-325) × × (1-N5¹)X X365which for smallish N is about1+2+1· + (N − 1)365...

Given: Suppose Ethernet physical addresses are chosen at random.

Answered: Suppose Ethernet physical addresses are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Outside a home, there is a 6-key keypad numbered 1 through 6. The correct five-digit code will open the garage door. The numbers can be repeated in the code. (a) How many codes are possible? (b) What is the probability of entering the correct code on the first try, assuming that the owner doesn't remember the code? (a) The number of possible codes is (Type an integer or fraction. Simplify your answer.) (b) The probability that the correct code is given on the first try, assuming that the owner doesn't remember it is (Type an integer or fraction. Simplify your answer.) Statcrunch
In a certain Algebra 2 class of 30 students, 8 of them play basketball and 10 of them play baseball. There are 18 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball? Answer: Submit Answer
can you answer question 3 subsection A-B?
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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Answer the following questions:a. A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. Howmany 5 draw poker hands are there? In 5-card stud poker, the cards are dealt sequentially and theorder of appearance is important. How many 5-stud poker hands are there?b. How many hands of 5-draw poker contain the ace of hearts? What is the probability that a 5-carddraw hand contains the ace of hearts?
2. A group of three undergraduate and six graduate students are available to fill certain student government posts. If four students are randomly chosen from this group, find the probability that exactly two undergraduates will be among the four chosen. [Hint: How many ways are there to fill the posts? How many ways satisfy the condition of having exactly TWO undergraduates selected AND hav- ing exactly two graduates selected?]
Solve question #5
How would I approach this problem?
A circuit has three independent switches A, B , C wired inparallel. current can only flow through the bank of switches if at least one of them is closed. The probability that any given switch is closed is 0.9. calculate the probability that the current can flow throught the bank of switches.

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