Here are the essential concepts you must grasp in order to answer the question correctly.
Descriptive Statistics
Descriptive statistics summarize and describe the main features of a dataset. In this context, measures such as the mean, median, and standard deviation of daily withdrawals can provide insights into typical cash demands and variability. Understanding these statistics helps in making informed decisions about how much cash to stock in the ATM.
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Parameters vs. Statistics
Percentiles
Percentiles are used to understand the distribution of data by indicating the value below which a given percentage of observations fall. For example, if you want to ensure that the ATM runs out of cash only 10% of the time, you would look for the 90th percentile of the daily withdrawals. This value represents the cash amount that should be stocked to meet the demand on most days.
Risk Management
Risk management involves identifying, assessing, and prioritizing risks followed by coordinated efforts to minimize, monitor, and control the probability of unfortunate events. In this scenario, balancing the risk of running out of cash (customer dissatisfaction) against security concerns of having too much cash is crucial. Effective risk management strategies will help determine the optimal cash amount to stock in the ATM.
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