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Exercises
Exercise #1: Estimate the probability of rolling two six-sided dice and having the sum of the two dice be equal to 7.
Exercise #2: In a normal distribution with a mean of 50 and a standard deviation of 12, estimate the probability that a randomly-selected value from the distribution will be greater than 60.
The purpose of this is to practice using Monte Carlo simulations, so please use a simulation for all the exercises
If using Excel please use at least 5,000 iterations in your simulations. If using R please use at least 50,000 iterations in your simulations
Based on the sample data, and using the 0.025 level of significance, can we conclude that the new exhibit has increased the average contribution of exhibit patrons? Identify and interpret the p-value for the test.
Diameters of bolts produced by a particular machine are normally distributed with mean 0.760 cm and standard deviation 0.012 cm.
The number of cases of merlot wine sold by a Paso Robles winery in an 8-year period follows:
a remote controlled undersea vehicle detects debris from a sunken craft at a rate of 60 pieces per hour. the time to
Illustrating the sampling distribution of mean hours of sleep for a sample of 190 college students, taken from a population of sleep hours with a mean of 7.1.
when parking a car in a downtown parking lot drivers pay according to the number of hours or fraction thereof. the
players a and b play a series of games that ends as soon as one side has won two more games than the other side. on
To test whether the significant difference between two sample variance using F-tests.
Let x be a nilpotent element of the commutative ring R i.e. x^m for some positive integer m. Prove that x is either zero or a zero divisor
From the following frequency d istribution, find the class frequencies that are missing. Calculate mean, median and mode from the following data.
Use a 0.05 significance level to test the claim that the mean speed of all cars is greater than the posted speed limit of 70 mph. Based on the above situation compute the value of the test statistic.
You are sending an employee to one of your company's foreign subsidiaries. How would you prepare them? Use a specfic country to help explain your answer.
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