A spinner with three equal sections is being used in a game. One section is labeled “0 points,” and two sections are labeled “2 points.” A player can decide not to spin the spinner and score 1 point. Each player gets one turn, and the player with the higher score wins; in case of a tie, the winner is decided by one flip of a fair coin. Alex takes his turn first. Eddie, knowing Alex’s score, takes his turn next. If both players use strategies that maximize their winning probabilities, what is the probability that Alex wins? a 1/3 b 1/2 c 2/3 d 4/9

Checkpoint B  If this population plays (and loses) the lottery 2 times: It could become [0,3,4,5,6], if the first individual played twice Or it could become [2,3,4,4,5], if the last two individuals each played once etc Continuing the example, scholarships might then award a total of $3 of awards to the population in the form of $1 scholarships. If the wealth had originally been [0,3,4,5,6], then: It could become[3,3,4,5,6], if the 1st individual got all three awards Or it could become [0,4,5,5,7], if it was distributed equally among the 2nd, 3rd, and 5th individuals etc We assume the lottery system is backed by a relatively huge pool of capital, so that scholarships are awarded no matter how many lottery winners there are. We also assume who plays the lottery and who benefits from scholarships will be random, at the individual-level. Later, at the population-level, we will select behaviors for our simulation based on social science research. The function generate_disparity_msg()…

Checkpoint B  If this population plays (and loses) the lottery 2 times: It could become [0,3,4,5,6], if the first individual played twice Or it could become [2,3,4,4,5], if the last two individuals each played once etc Continuing the example, scholarships might then award a total of $3 of awards to the population in the form of $1 scholarships. If the wealth had originally been [0,3,4,5,6], then: It could become[3,3,4,5,6], if the 1st individual got all three awards Or it could become [0,4,5,5,7], if it was distributed equally among the 2nd, 3rd, and 5th individuals etc We assume the lottery system is backed by a relatively huge pool of capital, so that scholarships are awarded no matter how many lottery winners there are. We also assume who plays the lottery and who benefits from scholarships will be random, at the individual-level. Later, at the population-level, we will select behaviors for our simulation based on social science research. The function generate_disparity_msg()…

Suppose, you are working in a company ‘X’ where your job is to calculate the profit based  on their investment.   If the company invests 100,000 USD or less, their profit will be based on 75,000 USD as  first 25,000 USD goes to set up the business in the first place. For the first 100,000 USD,  the profit margin is low: 4.5%. Therefore, for every 100 dollar they spend, they get a profit  of 4.5 dollar.  For an investment greater than 100,000 USD, for the first 100,000 USD (actually on 75,000  USD as 25,000 is the setup cost), the profit margin is 4.5% where for the rest, it goes up to  8%. For example, if they invest 250,000 USD, they will get an 8% profit for the 150,000  USD. In addition, from the rest 100,000 USD, 25,000 is the setup cost and there will be a  4.5% profit on the rest 75,000. Investment will always be greater or equal to 25,000 and  multiple of 100.  Complete the RECURSIVE methods below that take an array of integers (investments)  and an iterator (always sets to…

Suppose, you are working in a company ‘X’ where your job is to calculate the profit based  on their investment.   If the company invests 100,000 USD or less, their profit will be based on 75,000 USD as  first 25,000 USD goes to set up the business in the first place. For the first 100,000 USD,  the profit margin is low: 4.5%. Therefore, for every 100 dollar they spend, they get a profit  of 4.5 dollar.  For an investment greater than 100,000 USD, for the first 100,000 USD (actually on 75,000  USD as 25,000 is the setup cost), the profit margin is 4.5% whereas for the rest, it goes up to  8%. For example, if they invest 250,000 USD, they will get an 8% profit for the 150,000  USD. In addition, from the rest 100,000 USD, 25,000 is the setup cost and there will be a  4.5% profit on the rest 75,000. The investment will always be greater or equal to 25,000 and multiple of 100.  Complete the RECURSIVE methods below that take an array of integers (investments)  and an iterator (always sets to…

3. If money is worth 7% effective, find the present value of a P4, 000.00 perpetuity  payable every year. (P57, 142.86)

You found an exciting summer job for five weeks. It pays, say, $15.50 per hour. Suppose thatthe total tax you pay on your summer job income is 14%. After paying the taxes, you spend10% of your net income to buy new clothes and other accessories for the next school yearand 1% to buy school supplies. After buying clothes and school supplies, you use 25% of theremaining money to buy savings bonds. For each dollar you spend to buy savings bonds,your parents spend $0.50 to buy additional savings bonds for you. Write a flowchart that prompts the user to enter the number of hours you worked each week. The program thenoutputs the following:a. Your income before and after taxes from your summer job.b. The money you spend on clothes and other accessories.c. The money you spend on school supplies.d. The money you spend to buy savings bonds.e. The money your parents spend to buy additional savings bonds for you.

There are four possible ways to cross the river for a person. Let the first location is denoted by L1, second one is by L2, third one is by L3, and fourth one is by L4 arranged from north to south. A tiger can wait at one of the specified 4 locations. If the location chosen is same by both person and the tiger, then the payoff to the tiger is 1. If both person and tiger chosen adjacent locations the payoff to the tiger is 0.5. If both chosen location are distinct and non – adjacent then the payoffs were 0. In the present scenario, what is the value of the game to the tiger?

Each day, there are two strategies available to two bakers, Tim and Horton: sell cakes or sell pastries. They cannot do both in any one day. If both sell cakes, Tim will earn an additional $500 and Horton will lose $500. If Tim sells cakes and Horton sells pastries, Tim gains $100 and Horton loses $100. If Horton sells cakes and Tim sells pastries, Tim loses $400 and Horton gains $400. If both sell pastries, Tim gains $400 and Horton loses $400. What will be the outcome if both bakers correctly use game theory?   a.None of these outcomes is correct b.Tim will gain $250, on average, each day c.Tim will gain $300, on average, each day d.Tim will gain $100, on average, each day e.Tim will gain $200, on average, each day