Practice Problems: Solve the following probability and statistics problems. Provide step-by-step solutions.
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- Calculate the probability of drawing a red card from a standard deck of 52 cards.
- Find the mean, median, and mode of the data set {3,7,7,10,15}\{3, 7, 7, 10, 15\}{3,7,7,10,15}.
- Determine the 95% confidence interval for a sample mean of 75 with a standard deviation of 8 and a sample size of 30.
Complete both above, save them into one .pdf, and upload them when complete.