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"A famous American football coach had only two strategies, Run the ball to the left side of the line and Run the ball to the right side. The defense can concentrate forces on the left side or the right side. If the opponent concentrates on the wrong side, his offense is sure to gain at least 5 yards. If the defense defended the left side and the offense ran left, the offense gained only 1 yard. If the opponent defended the right side when the offense ran right, the offense would still gain at least 5 yards with probability 0.50. It is the last play of the game and the famous coach's team is on offense. If it makes 5 yards or more, it wins; if not, it loses. Both sides choose Nash equilibrium strategies.
Is there a Nash equilibrium in pure strategies in this game? Explain why or why not.What is the probability that the offense will run to the left?What is the probability that the offense will run to the right?What is the probability that the defense defends the left hand side?What is the probability that the defense defends the right hand side?Explain in words what the expected outcome will be.
Please address the following question: Solve for x. Write your answer as a fraction in simplest form.
What is the probability that the kickoff will go between 60 and 75 yards if the average kickoff is 50 yards with a variance of 49?
What is the best estimate of the average tread life for the entire population of these tires?
You are investigating the flight characteristics of different kinds of birds. You collect a sample of 33 European swallows (Hirundo rustica) and measure their air-speed velocity in a borrowed wind tunnel.
In each of the following cases. find the mean , variance and standard of the sampling distribution of sample proportion p.
A seed distributor claims that 80% of its beet seeds will germinate. How many seeds must be tested for germination in order to estimate p, the true proportion that will germinate, so that the maximum error of the estimate is " = 0:03 with 90% con ..
There were 3 defectives in the first batch and 5 in the second. Find a 95% confidence interval using the plus four method for the difference in the proportion of defectives.
Describe and analyze your quantitative data and Briefly address the data analysis process.
A researcher believes that the percentage of people who exercise in California is greater than the national exercise rate. The national exercise rate is 20%. The researcher gathers a random sample of 120 individuals who live in California and find..
An exam consists of 10 true or false questions. If a student guesses at every answer, what is the probability that he or she will answer exactly six questions correctly? (Round the answer to three decimal places)
In a sample survey, 200 of 800 individuals enrolled in our managed-care organization indicated that they favored a proposal to extend office hours from 5:00 to 8:00 p.m. Construct a 95% confidence interval for the corresponding true proportion.
About 72% of dog owners buy holiday presents for their dogs. Suppose n = 4 dog owners are randomly selected. Find the expected number of persons, in the sample, who buy their dog holiday presents.
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