A coin is flipped 8 times in a row (assume all outcomes are equally likely).For each of the following questions, you should write your answer as an expression. Do not give thefinal numeric value. For example, you should write C(4,2)/24 instead of 0.375.Q1.1 What is the probability that it lands on heads exactly four times?

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Answered: A coin is flipped 8 times in a row…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter17: Markov Chains

Section: Chapter Questions

Problem 12RP

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When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)
What is the result of the following expression: 3 * 5 \ 2 + 30 / 5? 7.5 13 13.5 None of the above.
(Probability) The probability that a phone call will last less than t minutes can be pproximated by the exponential probability function: Probability that a call lasts less than t minutes=1et/a aistheaveragecalllength.eisEulersnumber( 2.71828). For example, assuming the average call length is 2 minutes, the probability that a call will last less than 1 minute is calculated as 1e1/2=0.3297. Using this probability equation, write a C++ program that calculates and displays a list of probabilities of a call lasting less than 1 minute to less than 10 minutes, in 1-minute increments.
In the game Rock paper Scissors, two players simultaneously choose one of three options: rock, paper, or scissors. If both players choose the same option, then the result is a tie. However, if they choose differently, the winner is determined as follows: Rock beats scissors, because a rock can break a pair of scissors. Scissors beats paper, because scissors can cut paper. Paper beats rock, because a piece of paper can cover a rock. Create a game in which the computer randomly chooses rock, paper, or scissors. Let the user enter a character, r, p, or s, each representing one of the three choices. Then, determine the winner. Save the application as RockPaperScissors.cs.
One way to determine how healthy a person is by measuring the body fat of the person. The formulas to determine the body fat for female and male are as follows: Body fat formula for women: A1 = (body weight x 0.732) + 8.987 A2 = wrist measurement (at fullest point)/3.140 A3 = waist measurement (at navel) x 0.157 A4 = hip measurement (at fullest point) x 0.249 A6 = forearm measurement (at fullest point) x 0.434 B = A1 + A2 A3 A4 + A5 Body fat = body weight - B Body fat percentage = body fat x 100/body weight Body fat formula for men: A1 = (Body weight x 1.082) + 94.42 A2 = wrist measurement x 4.15 B = A1 A2 Body fat = body weight B Body fat percentage = body fat x 100/body weight Write a program to calculate the body fat of a person.
Choose the best data type for each of the following, so that no memory storage is wasted. Give an example of a typical value that would be held by the variable, and explain why you chose the type you did. the number of years of school you have completed your final grade in this class the population of China the number of passengers on an airline flight one players score in a Scrabble game the number of Electoral College votes received by a U.S. presidential candidate the number of days with below freezing temperatures in a winter in Miami, Florida one teams score in a Major League Baseball game

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