Reference no: EM13698838
Question 1: How can two cubical (six sided) dice be labeled using numbers {0,1,2,3,4,5,6} so that when the two dice are thrown, the sum has a uniform probability distribution over the integers ( 1,2...12}.The same number can repeat more than once on a face of either die, but each face will come up with the same probability 1/6 when the die is rolled.
Question 2: A test for a disease is 90% reliable, i.e. in 90% of cases of people who have the disease, a positive test result is returned and in 90% of the people who do not have the disease, a negative result is obtained. Suppose that 1% of people are known to have the disease. If a person X takes the test and gets a positive result for the test, what is the probability that X actually has the disease?
Question 3: Alice and Bill flip a fair coin until one of the respective patterns A = HHT or B = HTT appears for the first time (and then the corresponding player wins).
Here is a state diagram that indicates how Alice (or Bill) would proceed to a win: the transitions indicate flips of a fair coin (H/T).
Use the state diagram to calculate by hand, the exact probability that Alice wins within 5 or fewer coin flips and via a programmed function that takes n 3 as argument and returns the ratio of the probability that Alice wins in exactly n flips to the probability that Bill wins in exactly n flips.
Question 4: Redo problem 3 but this time choose winning patterns A = THH and B = HHT. You will need to draw a state diagram based on these patterns before answering parts (a) and (b) as above.
Be sure to include comments. The comment should describe the purpose of the program and the data to be entered.
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Implement program which performs basic arithmetic operation
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Estimated number of copies that will be sold
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Aloha network
: In a pure ALOHA network with G=1/2, how is the throughout affected in each of the subsequent cases?
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Write a program to find the common songs in these lists
: Write a program to find the common songs in these lists. Let user enter the list sizes n and m and the songs. While testing your program for submission, make sure that the lists are different but they do intersect in some songs.
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How can two cubical dice be labeled using number
: Alice and Bill flip a fair coin until one of the respective patterns A = HHT or B = HTT appears for the first time (and then the corresponding player wins).
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Write a program that decides if a number x is in the matrix
: Write a program that decides if a number X is in the matrix. Let the user enter the size of the matrix n, the content, and the number X to search. Display the result of your search in the screen. While testing your program for submission, make sur..
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Print out contents of the vector
: Write C++ program to provide the subsequent functionality - Ask users to enter 10 integer numbers and Print out contents of the vector.
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Give the boolean equation for the problem
: Develop a truth table that captures the desired circuit behavior of the problem and give the Boolean equation for the problem.
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Convert to mips the following expression
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