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Role-playing games like Dungeons & Dragoons ause many different types of dice, usually having either 4, 6, 8, 10, 12, or 20 sides. Roll a balanced 8-sided die and a balanced 6-sided die and add the spots on the up-faces. Call the sum X. What is the probability distribution of the random variable X?
Can people really identify their favorite brand of cola? Volunteer tasted coca-cola classic, pepsi, Diet coke, and Diet pepsi, with the results shown below.
The objective is to maximize the expected net return. Define the optimal value function and give the optimality equation. Find the optimal policy.
An airline estimates that 90% of people booked on their flights actually show up. If the airline books 71 peopleon a flight for which the maximum number is 69, what is the probability that the number of people who show up will exceed the capacity ..
Create a real-world situation or problem that could be addressed using an independent- or related-samples t test. Create this situation or problem, that clearly identify the independent and dependent variables to study
Plot this 20 maxima again on normal probability paper derive the theoretical distribution function for this 20 maxima and draw the CDF in the same plot.
By using the results in (a), construct a boxplot. Indicate clearly on the boxplot the five-number summary. Are the data skewed? If so, describe its skewness.
A company is interested in estimating μ, mean number of days of sick leave taken by its employees. The firm's statistician randomly selects 100 personnel files and notes the number of sick days taken by each employee.
Simplify the principal square root of 64 z^4. Assume that z represents a positive real number.
Compare 2 moving averages using MSE and compute Exponential smoothing. The subsiquent data which represents demand for company ABC's products for the last 10 months.
The probability of error in the transmission of a binary digit over a communication [2] channel is 1=103. Write an expression for the exact probability of more than 3 errors when transmitting a block of 103 bits. What is its approximate value? Ass..
Would it be sensible to conclude that more than 10% of applicants are now failing the test?
A researcher is evaluating the influence of a treatment using a sample selected from a normally distributed population with a mean of u = 80 and a standard deviation of o= 20. The researcher expects a 12 point treatment effect and plans to use a t..
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