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. Q1.3 What is the probability that it lands on heads more often than tails?

Step 1: State the given: number of trials, n = 8number of successes for heads, x ≥ 5 (since more…

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

Programming Logic & Design Comprehensive

9th Edition

ISBN:9781337669405

Author:FARRELL

Publisher:FARRELL

Chapter4: Making Decisions

Section: Chapter Questions

Problem 16RQ

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In this program, you will check whether two dominoes match. Because you can flip a tile, two tiles match if the number on the left or right matches the left or right on the other tile. You should print all matches. First check a direct match, then try flipping tiles. But don’t flip a tile whose left and right numbers are the same. If there is no match, print "No match". For example, with the tiles 1 3 and 4 3, print 1 3 3 4 Three of my tests are failing since there are duplicates of the print results. How would I go about to remove the duplicate?
Suppose you can buy chocolate bars from a vending machine for $1 each.Inside every chocolate bar is a coupon. You can redeem 7 coupons for 1chocolate bar from the machine.For example, if you have $20, you can initially buy 20 chocolate bars.This gives you 20 coupons. You can redeem 14 coupons for 2 additionalchocolate bars. These 2 chocolate bars have 2 more coupons, so you now have atotal of 8 coupons. This gives you enough to redeem for 1 final chocolate bar.Write a recursive function that would accept the amount of dollars andcoupons as its parameters and output the total number of chocolate bars thatcan be bought (including those redeemed via coupons).Write a test program in C++that would allow the user to enter amount of dollarsand then use the recursive function to compute the number of chocolate barsthe user can buy, and output the number to the screen.
Suppose you put $10,000 into a CDwith an annual percentage yield of 6.15%. After one month, the CD is worth10000 + 10000 * 6.15 / 1200 = 10051.25After two months, the CD is worth10051.25 + 10051.25 * 6.15 / 1200 = 10102.76After three months, the CD is worth10102.76 + 10102.76 * 6.15 / 1200 = 10154.53and so on.Write a program that prompts the user to enter an amount (e.g., 10000), the annualpercentage yield (e.g., 6.15), and the number of months (e.g., 18) and displays atable as shown in the sample run. Enter the initial deposit amount: 10000↵EnterEnter annual percentage yield: 6.15↵EnterEnter maturity period (number of months): 18↵EnterMonth CD Value1 10051.25 2 10102.76...17 10907.9018 10963.81
Using Paython Write a program that asks a student for his grade (out of 100) in 3 exams and then print out his final grade (out of 100), given that the weight of the first exam is 30%, the second 30%, and the third 40%.Example Input:Exam1: 70Exam2: 80Exam3: 90Example Output:Total Grade = 81Explanation: 0.3 * 70 + 0.3 * 80 + 0.4 * 90 = 81
Write a program that will figure out the required change for a purchase. Start by asking the user for the price of the product and the amount paid. (We are expecting that the user will give a larger value for the amount paid.) Read in each of these values as a double. Report back to the user the number of each denomination of change due. You are not just telling the user the amount of money he gets back. Hint: Working with integers is much easier. The modulo operator is your friend for this assignment. Also, note that pennies can be tricky due to the poor real number to binary conversions. (Remember that 1.00 could actually be stored as 0.9999999999997.) Do not include five-dollar bills, ten-dollar bills, etc. Only show coins and one-dollar bill amounts. Be sure to test multiple values. There is a test case below. Your program should run the test case exactly as it appears below, and should work on any other case in general. Output Example (User input is marked with >>>.…
A provable formula B is denoted by (you can write the answer in the paper and picture that answer upload it here).
What is the scope of the variable number? (Type your answer as two line numbers with a comma between. For example if a variable's scope would go from lines 5 to 10, you would type 5, 10.)
Suppose you save $100 each month in a savings account with annual interest rate 3.75%. Thus, the monthly interest rate is 0.0375/12 = 0.003125. After the first month, the value in the account becomes 100 * (1 + 0.003125) = 100.3125, after the second month, the value in the account becomes (100 + 100.3125) * (1 + 0.003125) = 200.938, after the third month, the value in the account becomes (100 + 200.938) * (1 + 0.003125) = 301.878 and so on. Write a Java program that prompts the user to enter a monthly saving amount and displays the account value after the sixth month. (You will use a loop to simplify the code and display the account value for any month.) Sample Output:Enter the monthly saving amount: 100After the first month, the account value is 100.3125After the second month, the account value is 200.9384765625After the third month, the account value is 301.8789093017578Note: The computation should be until 12 months.
U is upward, D is downward, L is left and R is right : Using the methods pickDir() and exractInt() as shown below, to write a simple automated game: how long does it take a robot to travel from a left line of a field to the right line? Assume field is 15 units apart (meters, kilometers, it doesn’t matter), and the robot starts on the left line. pickDir(): // return string with random direction and random distance (within maxDist) public static String pickDir (int maxDist) { Random r = new Random(); // random number generator // return direction + distance return ( "" + "LRUD".charAt( r.nextInt(4) ) + (r.nextInt(maxDist) + 1) ); } extractInt(): // returns integer from string, from pos p1 to p2: str = "D1" – extractInt(str,1,1); public static int extractInt (String str, int p1, int p2) { return ( Integer.parseInt( str.substring(p1, p2+1) ) ); } Write the main() method that keeps looping until the robot’s random left…
This is basically something that has a certain number of states (sort of like how a traffic light can be Red, Yellow, Green) and changes from one state to another.This program will have 4 states: HAPPY, HUNGRY, BORED, SAD. Here are the rules. Our animal starts in a state of Happy, with the values for hungry = 0 and bored = 0. Each round the player can "feed", "play" or "ignore" their animal. If they feed their animal, then the hungry meter goes down and bored meter goes up. If they play with their animal, then the bored meter goes down and the hungry meter goes up. If they ignore their animal, then both hungry and bored go up. Don't go below 0 Here are the state changes. Each one of these is a "case" in a switch (from current state -> new State):HAPPY If hungry >= 2 transition to HUNGRY If bored >= 2 transition to BORED HUNGRY if hungry >= 4 transition to SAD if bored > hungry transition to BORED if hungry < 2 transition to HAPPY BORED If bored >= 4…
What is the probability that in a classroom of x people, at least 2 will be born on the same day of the year (ignore leap year)? Use a Monte Carlo Simulation and a frequency table to write a program that calculates this probability, where the number of people (x) in the simulated class is given by the user. The probability for a class of size 23, should be right around 50%. NO language of "break" or "true" please! PLEASE USE THE OUTLINE GIVEN BELOW TO WRITE THE CODE: # What is the probability that in a classroom of x people, at least 2 will be born on the same day of the year (ignore leap year)?# I have given you the skeleton and some of the code... you complete it using a frequency table!# Note: In a classroom of only 23 people, the probability is about 50.7% !# Try first with 10000 trials and then try with 100000 trials. This code runs somewhat slowly in repl.it import mathimport random # create and initialize frequency table:ft = []k = 0while(k < 365) : ft.append(0) k = k+1…
Find the Other Two Side Lengths in Java Given the shortest side of a 30° by 60° by 90° triangle, find out the other two sides. Return the longest side and medium-length side in that order. Examples otherSides(1) ➞ [2.0, 1.73] otherSides(12) ➞ [24.0, 20.0] otherSides(2) ➞ [4.0, 3.46] otherSides(3) ➞ [6.0, 5.2] Notes 30° by 60° by 90° triangles always follow this rule: let's say the shortest side length is x units, the hypotenuse would be 2x units and the other side would be x * square root of 3. The results in the Tests are rounded up to 2 decimal places. Return the result as an array.

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