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.An 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 chocolate
- There is a 30% chance that any current client of company A will switch to company B this year. There is a 20% chance that any client of company B will switch to company A this year. If these probabilities are stable over the years, and if company A has 1000 clients and company B has 1000 clients, in the long run (assuming the probabilities do not change), what will the market shares be? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).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 $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 cyclesA 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 ?$3.00 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 50 loaves. Find the expected monetary value when baking 75 loaves.
- Kay has an 80% probability of making a free-throw in basket ball, and each free-throw is independent. Kay gets to take 2 free-throws, and must make both to win the game. What is the probability that Kay's team will win the game?The Eastwoods are going to have a child. She has chestnut hair (MBdMBk), and he has dark brown hair. Find their child's possible hair colors and the probabilities of each. (Enter exact numbers as integers, fractions, or decimals.)Suppose that Trendy Inc. products a style of a seasonal business suit, Sit-T-Slicker, which has a cost of $500 per unit. The demand during the season for Sit-T-Slicker is generally unknown and could be either: 200, 500, 800, 1100, and 1500 units with equal probabilities. Trendy sells the Sit-T-Slicker suit for $900 per unit during its three-month season, and for $300 per unit when sold after that time. Given the above data, what is the optimal order quantity for the Sit-T-Slicker? What is expected profit? Suppose the probabilities in part a change to 0.05, 0.25, 0.40, 0.25, 0.05 for demand levels 200, 500, 800, 1100, 1500, respectively. What is the optimal order quantity and expected profit in this case? How would better information regarding the demand for the Sit-T-Slicker suit change the data provided in this problem? How would this information affect the answers to part a? Explain.
