Question

A consulting firm works with a specific bank and asks you to perform a Monte Carlo simulation of customer arrivals, considering that there is an average of customer arrivals every 450 seconds, a standard deviation of 21 seconds, perform the simulation of 200 random arrivals and evaluate the maximums and minimums of the entire simulation.

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1. Given a mean (\mu ) of 450 seconds and a standard deviation (\sigma ) of 21 seconds.

2. Generate 200 random samples using a normal distribution with the given mean and standard deviation.

X \sim N(\mu=450, \sigma=21)

3. Calculate the minimum value in the simulated data.

\text{Mínimo} = 403.24 \ \mathrm{segundos}

4. Calculate the maximum value in the simulated data.

\text{Máximo} = 497.76 \ \mathrm{segundos}

Final results:

- Minimum: 403.24 \ \mathrm{segundos}

- Maximum: 497.76 \ \mathrm{segundos}

2. Generate 200 random samples using a normal distribution with the given mean and standard deviation.

3. Calculate the minimum value in the simulated data.

4. Calculate the maximum value in the simulated data.

Final results:

- Minimum:

- Maximum:

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