Reference no: EM13104701
A box contains 1,000 tiles, each with an (integer) number between 1 and 10 printed on it, with 100 tiles printed with each number (i.e. there are 100 ‘1' tiles, 100 ‘2' tiles etc.). Tiles are drawn randomly from the box, and replaced after each draw.
(a) Write down the general formula for the discrete uniform probability distribution function. Now write down the probability distribution function for the random drawing of tile numbers. Is this a discrete uniform distribution?
(b) What are the mean and standard deviation of randomly drawn tile numbers?
(c) Say that you are asked to construct the sampling distribution of the mean tile number. Give a step-by-step explanation of how you would do this; you can assume a sample size of 30.
(d) Sketch (roughly) the sampling distribution of the mean tile number. Explain why the sampling distribution has this shape.
(e) What are the mean and standard error of your sampling distribution?
(f) [For bonus marks] What is the probability of drawing 30 tiles and obtaining a mean tile number of less than 4?
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Explain events in decade of crisis which considered factors
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What is the value of the deceleration
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Estimate the reorder point under the current policy
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Estimating the optimal number
: Judith Thompson is the manager of the student center cafeteria. She is introducing pizza as a menu item. The pizza is ordered frozen from a local pizza establishment and baked at the cafeteria.
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Discrete uniform probability distribution function
: \Write down the general formula for the discrete uniform probability distribution function. Now write down the probability distribution function for the random drawing of tile numbers. Is this a discrete uniform distribution?
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Determine the daily demand
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Determine weightings of debt and equity in capital structure
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Describe how to determine priority and message
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