With what probability does player 2 play Right in the mixed strategy Nash equilibrium? (Input your answer as a decimal to the nearest hundredth, for example: 0.14, 0.56, 0.87) PLAYER 2 Left Right PLAYER 1 Up 76,63 48,28 Down 31,44 86,82
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- Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the probability that 3 patients of this group, chosen at random, will remain disease-free.Typed plzz AsapAn engineer decides to buy four new snow tires for his car. He finds that Retailer A is offering a special cash rebate, which depends on how much snow falls during the first winter. If this snowfall is less than 50% of the mean annual snowfall for his city, his rebate will bet 50% of the list price. If the snowfall that winter is more than 50% but less than 75% of the mean annual snowfall, his rebate will be 25% of the list price. If the snowfall is more than 75% of the mean annual snowfall, he will receive no rebate. The engineer finds from a reference book that the annual snowfall for his city has a mean of 80 cm and standard deviation of 20 cm and approximates a normal distribution. The list price for the brand and size of tires he wants is $80.00 per tire. The engineer checks other retailers and finds that Retailer B sells the same brand and size of tires with the same warranty for the same list price but offers a discount of 5% of the list price regardless of snowfall that…
- A box contains x white chocolates and y dark chocolates. Khairul selects a chocolate from the box, followed by Priya whio also selects a chocolate. Find, in terms of x and y, the probability that G Khairul selects a dark chocolate, (i) Khairul selects a white chocolate while Priya selects a dark chocolateYou are going to play the 7-11 game, which has the following rules: You roll two dice. If the total value of the two dice is 7 or 11, you immediately win the game. If the total value is 2, 3, or 12, you immediately lose. If the total value is 4, 5, 6, 8, 9, or 10, you keep this value as a referenced point. Then, you continue rolling the dice until you obtain the same value as the referenced point then you win the game. However, if you obtain the value of 7 before the referenced point, then you lose. For example, you obtain 4 in the first time of rolling, you keep rolling the dice until you get 4 (before 7) then you win. Similarly, you obtain 4 in the first time of rolling, you keep rolling the dice but you get 7 (before 4) then you lose. What is the probability to win this game? You can solve this question either by - a simulation - in this case you have to answer one more question, i.e., on average how many times do you roll the dice for each game? (for a submission, you will need to…The point spread in sports betting is essentially a handicap towards the underdog, for example the point spread of the game this weekend between Cincinnati Bengals and Kansas City Chief in Cincinnati +3 or Kansas city is -3. If you place a bet on the bengals, Kansas city must win by less than 3 points for your bet to wim. If Kansas city wins by exactly 3 points then the bet is a push and your stake is returned. Now suppose you placed a bet of 100 dollars on the bengals on a website where they charge 10% commission (if you win $90) when line was CIncinati +3 or Kansas City -3 According to previous studies the final margin of victory for NFL team in a given game can be approximated as a normal variable with a mean of points spread line and a standard deviation of 12, however suppose the bengals just announced that their star receiver Chase would return this weekend which adds two points in favour of the bengals. In other words, we suppose that the winning margin now for Kansas City this…
- In the casino a card game takes 1 dollar bets, players have a 46% chance of winning back their bets plus $1, they also have a 54% chance of losing their bets, what would be the house edgeA bakery would like you to recommend how many loaves of its famous marble rye bread to bake at the beginning of the day. Each loaf costs the bakery $2.00 and can be sold for $6.00. Leftover loaves at the end of each day are donated to charity. Research has shown that the probabilities for demands of 25, 50, and 75 loaves are 35%, 25%, and 40%, respectively. Make a recommendation for the bakery to bake 25, 50, or 75 loaves each morning. Find the expected monetary value when baking 25 loaves. EMV = $ 100 (Type an integer or a decimal.) Find the expected monetary value when baking 50 loaves. EMV = $27.50 (Type an integer or a decimal.) Find the expected monetary value when baking 75 loaves. EMV $157.50 (Type an integer or a decimal.) Make a recommendation for the bakery to bake 25, 50, or 75 loaves each moming. The bakery should bake 50 loaves of bread every moming.A bakery would like you to recommend how many loaves of its famous marble rye bread to bake at the beginning of the day. Each loaf costs the bakery $2.00 and can be sold for $7.00. Leftover loaves at the end of each day are donated to charity. Research has shown that the probabilities for demands of 25, 50, and 75 loaves are 30%, 25%, and 45%, respectively. Make a recommendation for the bakery to bake 25, 50, or 75 loaves each morning. Find the expected monetary value when baking 25 loaves. EMV = $ 125 (Type an integer or a decimal.) Find the expected monetary value when baking 50 loaves. EMV=1 =$(Type an integer or a decimal.)
- Please solve in bold: According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select six peanut M&M’s from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.)Compute the probability that exactly two of the six M&M’s are orange = 0.2789Compute the probability that two or three of the six M&M’s are orange = 0.3900Compute the probability that at most two of the six M&M’s are orange = 0.8609Compute the probability that at least two of the six M&M’s are orange. Answer: If you repeatedly select random samples of six peanut M&M’s, on average how many do you expect to be orange? (Round your answer to two decimal places.) Answer: orange M&M’sWith what standard deviation? (Round your answer to two decimal places.) Answer:…Andrew and Bella either cycle to college or walk. One day the probability that Andrew cyclesis 0.7 and the probability that Bella cycles is 0.5. The two probabilities are independent ofeach other.Use a tree diagram to find the probabilities that:(a) Andrew will cycle and Bella will walk(b) At least one of them cyclesModel the situation as a strategic game assuming that both ‘James’ and ‘Robert’ are altruistic, ranking outcomes according to the other person’s comfort and, out of politeness, prefer to stand than to sit if the other person stands. Model the situation as a strategic game and find any Nash equilibrium (equilibria) if it exists. Does a dominant strategy exist for either ‘James’ or ‘Robert’ with these preferences? Show all steps and working in support of the answerContext:The London Metro Bus is crowded for travel during peak hours. During such travel hours two daily passengers ‘James’ and ‘Robert’ enter the Metro. Luckily, two adjacent seats are free in the bus. Each of them must decide whether to sit or stand. For both, sitting alone is more comfortable than sitting next to the other person, which in turn is more comfortable than standing. consider james as "Row Player" and Robert as "Column Player"
