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The Number of Bad Checks Received Per Day by a Store

question 75

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The number of bad checks received per day by a store and the respective probabilities are shown below.
 Number of Bad Checks  Received Per Day  Probability 00.0410.0620.1030.3040.2050.1560.1070.05\begin{array}{ll}\text { Number of Bad Checks }\\\text { Received Per Day }&\text { Probability }\\0 & 0.04 \\1 & 0.06 \\2 & 0.10 \\3 & 0.30 \\4 & 0.20 \\5 & 0.15 \\6 & 0.10 \\7 & 0.05\end{array}
a. What is the expected number of bad checks received per day?
b. Determine the variance in the number of bad checks received per day.
c. What is the standard deviation?


Definitions:

Latin Hypercube Sampling

A statistical method for generating a sample of plausible collections of parameter values from a multidimensional distribution.

Monte Carlo Forecasting

A technique using random sampling and statistical modeling to predict outcomes in complex systems or processes.

Monte Carlo Simulation

A computational algorithm that uses repeated random sampling to obtain numerical results, typically used to assess risk or uncertainty in prediction and forecasting models.

Crystal Ball

A forecasting and simulation software by Oracle that is used for predictive modeling, simulation, and optimization.

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