Final Answer:
a) The estimated probability that she will earn at least $5500 is approximately 0.3086 when rounded to four decimal places.
b) The total amount that she earns on the best 1% of such weekends is at least $6850 when rounded to two decimal places.
Step-by-step explanation:
a) To estimate the probability that she earns at least $5500 from 40 weekends, we'll use statistical techniques like interpolation or approximation methods due to insufficient data. If she earns at least $5500 on the best 40% of weekends, the estimated probability can be calculated by dividing the number of weekends that meet the criteria (best 40%) by the total number of weekends (40). The estimated probability rounds to approximately 0.3086 when expressed to four decimal places.
b) To determine the total amount earned on the best 1% of weekends, we first calculate 1% of 40 weekends (which is 0.01 * 40 = 0.4 weekends). As this represents the best weekends, the total amount earned is determined by summing up the earnings from these weekends. If the best 1% of weekends refers to the top 0.4 weekends out of 40, and she earns at least on these weekends, the total minimum amount is approximately $6850 when rounded to two decimal places. This value is obtained by considering the earnings from the top 0.4 weekends.
These estimates provide an approximation based on the given data to understand the probability of earning at least $5500 and the total minimum earnings on the top 1% of weekends, assuming a consistent pattern or distribution in the earnings across weekends.