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1. Simulation Monty Hall's Three Doors You are asked to develop a simulation of the Monty Hall Three Door problem. Recall, there are three doors. Behind one is a car and behind two are goats. You choose one of the doors and Monty opens one of the other doors revealing a goat. You are then asked whether you want to change your choice or not. Your goal is to find the car which is behind one of the doors. You have two decisions to make: which door you believe contains the car and whether you switch or not. You should always choose the same door prior to doing the simulations you will develop. You will then try both decisions regarding switching or not and see which gives you better results-that is, gets you the car more often. The randomness comes about by generating a random number that will correspond to the actual location of the car. Recall, no matter which door has the car, Monty will always be able to reveal a goat behind one of the other doors. Please do 100 simulations of this problem using excel. Do you believe the results of the simulation correspond to the best policy? What is the expected number of times you would win the car using the two strategies? Does the simulation back this up?
If he were to randomly select 120 corks from the next box, then how many of these corks would John expect to be undersized?
A state meat inspector in lowa has been given the assignment of estimating the mean net weight of packages of ground chuck labeled " 3 pounds." Of course, he realizes that the weights cannot be precisely 3 pounds.
It is the number of independent variables that changes. Describe a regression relationship using multiple independent variables.
Let x equal the number of cells activating the alarm when the temperature reaches 100F. Find the expected value and the variance for the random variable x.
Body mass index is measured as the ratio of weight in kilograms to height in meters squared. Are there outliers in the distribution of BMI (justify your answer)?
Conduct a test for checking that the proportions of women and men that liked commercial A are the same versus the two-sided alternative at the 5% level.
Construction of confidence interval for difference between first and second sample mean revealed interval to be 10 plus or minus 12. We conclude.
A social psychologist has developed a test measure gregariousness. The test is normed so that it has a mean of 70 and a standard deviation of 20, and the gregariousness scores are normally distributed in the population of college students used to ..
The state of Texas college admission board has set a standard for automatic acceptances to any university at top 10% of any graduating class will be allowed to attend any university in the state.
In a random sample of 10 cell phone users, what is the probability that exactly 2 have used their phones to access the Internet? More than 2?
Construct a 90% confidence interval to estimate the difference of (average number of gallons sold on weekdays - average number of gallons sold on weekends). Assume the population standard deviations are the same for both weekdays and weekends.
Assume the distribution of amounts purchased follows the normal distribution. For a sample of 50 customers, answer the following questions. What is the likelihood the sample mean is at least $25.00?
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