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, calculating measures such as the mean, median, and mode of daily withdrawals will help understand typical cash demands. This analysis provides a foundation for making informed decisions about how much cash to stock in the ATM.
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Probability
Probability is the measure of the likelihood that an event will occur. In this scenario, understanding the probability of daily withdrawals exceeding the ATM's cash limit is crucial. By analyzing the distribution of withdrawal amounts, one can estimate the likelihood of running out of cash on any given day.
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Normal Distribution
Normal distribution is a probability distribution that is symmetric about the mean, indicating that data near the mean are more frequent in occurrence. If the daily withdrawals follow a normal distribution, it allows for easier calculation of the percentage of days the ATM will run out of cash when stocked with a specific amount, such as $9000.
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