1. If an unbiased coin is flipped 3 times, what is the probability of getting exactly two heads?
2. What is the probability of selecting two aces (without replacement) from a well-shuffled deck of cards?
3.. Assuming the population of all statistics students that have taken this class had mean total points at the end of the class of 300 with a standard deviation of 30.
a. What is the percentile rank for someone who got 350 points?
b. What percentage of students had between 275 and 375 points?
4. The following data are the SAT scores for 12 randomly selected high school seniors.
1224 1223 987 692 947 723
837 721 747 540 623 1445
a) What is the standard error of the mean for these data?
b) What is the 90% confidence interval for the population mean (µ)?