Question: 6. (15 pts.) Here's a dataset I just generated. I'm not going to tell you what distribution I generated the data from because......I don't

6. (15 pts.) Here's a dataset I just generated. I'm not going to tell you what distribution I generated the data from because......I don't want to. 1.491, 0.019, 0.318, 0.056, 0.816, 0.978, 0.174, 0.461, 0.495, 0.547, 0.123, 2.270, 0.026, 0.041, 0.391 1 (a) Use the bootstrap method to estimate the probability that a random variable coming from this distribution is less than 0.75. Give a 95% confidence interval of your estimate. (b) Do you think the bootstrap method is a good way to estimate such a number? Defend your answer with a simulation study. Let me be more specific: generate random numbers from a distribution in which you know what the probability of being less than 0.75 is. Then implement the bootstrap and see how close you get to the probability you know.

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