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Question: Seatbelts. Suppose 75% of all drivers always wear their seatbelts. Let's investigate how many of the drivers might be belted among five cars waiting at a traffic light.
a) Describe how you would simulate the number of seatbelt-wearing drivers among the five cars.
b) Run at least 30 trials.
c) Based on your simulation, estimate the probabilities there are no belted drivers, exactly one, two, etc.
d) Find the actual probability model.
e) Compare the distribution of outcomes in your simulation to the probability model.
A company receives shipments from two factories. Depending on the size of the order, a shipment can be in 1 box for a small order,
A decision maker is working on a problem that requires her to study the uncertainty surrounding the payoff of an investment. There are three possible levels of payoff -$1,000, $5,000, and $10,000.
For people with a certain disease, the length of time Y spent in remission is described by the following pdf
Births. Randomly selected births records were obtained and results are listed in the table below (based on data from the National Vital statistics Report,
For that group, the mean weight was 2919 pounds, with a standard deviation of 531.5 pounds. Is this strong evidence that the mean weight of all cars is not 3000 pounds?
Value of s^2 (s(squared)), is less than or equal to 0.01 even though s = 0.0075. What is to be done with a shipment of this glass for which the sample variance of the indices of refraction equaled 0.000182?
Determine probability that number of boats constructed next month will be between 4 and 7 (both inclusive).
Organise the data in appropriate class intervals and draw a histogram of the frequency distribution and find the Mean, Median, Range, Standard Deviation and Coefficient of Variation of the yield for the top 40 Australian companies.
Problem 1: The following table shows the regression output of a multiple regression model relating the beginning salaries in dollars of employees in a given company to the following predictor variables:
Could we use a simpler procedure that continues to ?ip the coin until the last two ?ips are different, and then sets X = 0 if the ?nal ?ip is a head, and sets X = 1 if it is a tail?
What shape curve do you get when your data set has the mean, median, and mode all with the same value? Could the value of the sample mean and the value of the population mean ever be the same?
Draft a memo to the client to explain the importance of accrual based financial statements, make sure you: explain the difference between a cash basis and an accrual basis measure of performance.
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