At a hospital, the analysis department uses Monte Carlo simulations to plan operations during a pandemic. In the questions below, it can be assumed that the Monte Carlo model used gives a correct picture of how the pandemic will behave in the future. In this assignment we have access to 100,000 independent simulations from the random variable X, which is defined as the number intensive care beds that will be in use on a given day in the future by patients who have become ill as a result of the pandemic Furthermore, it is stated that the hospital estimates that 6 days' work is needed per intensive care bed that is in use 1.) What is the estimate for the expected number of intensive care beds in use on the given day? 2.) How many beds must be available to be 95% sure of having enough beds? 3.) Estimate the probability that no intensive care beds are in use on the given day. 4.) Estimate the expectation and standard deviation of the number of days' work needed on the given day.
At a hospital, the analysis department uses Monte Carlo simulations to plan operations during
a pandemic. In the questions below, it can be assumed that the Monte Carlo model used gives a correct picture of how the pandemic will behave in the future. In this assignment we have access to
100,000 independent simulations from the random variable X, which is defined as the number
intensive care beds that will be in use on a given day in the future by patients who have become ill as a result
of the pandemic
Furthermore, it is stated that the hospital estimates that 6 days' work is needed per intensive care bed that is in use
1.) What is the estimate for the expected number of intensive care beds in use on the given day?
2.) How many beds must be available to be 95% sure of having enough beds?
3.) Estimate the
4.) Estimate the expectation and standard deviation of the number of days' work needed on the given day.
Step by step
Solved in 4 steps
