1. You draw two cards from a deck, what is the probability that: a. both of them are face cards (king, queen, or jack)? b. you draw two cards from a deck and both of them are hearts? 2. Assume adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. a. Find the probability that a randomly selected adult has IQ < 115 b. Find the probability that a randomly selected adult has IQ > 70 c. Find P30, which is the IQ separating the bottom 30% from the top 70% 3. a. When would the mean grade in a class on a final exam be considered a statistic? b. When would it be considered a parameter? c.. Define bias in terms of expected value. b. Is it possible for a statistic to be unbiased yet very imprecise? Can it be accurate but biased? 4. a. Why is a 99% confidence interval wider than a 95% confidence interval? b. When you construct a 95% confidence interval, what are you 95% confident about? 5. My parents lived in Florida and wanted to know the probability of winning the Florida Fantasy 5 if they bought one ticket. They had to pick the five winning numbers from 136. Each randomly selected number is different and order doesn't matter. What is the Probability of their winning? 6. In a study of families with children with disabilities, group of 6 US households were randomly selected. In the table below, the random variable x represents the number of households among 6 that had a child with a disability living there. x 0 1 2 3 4 5 6 P(x) 0.539 0.351 0.095 0.014 0.001 0+ 0+ a) Is this a probability distribution? b) What is the mean? c) What is the standard deviation? 7. Ten peas are generated from parents having the green/yellow pair of genes so there is a 75% probability that an individual pea will have a green pod. Find the probability that among the 10 offspring peas, at least 9 have green pods. Is this unusual? Explain. 8. Find the critical value: a. Z0.02 b. Z0.01 c. Z0.10