1 College Coffee Consumption College Coffee Consumption - Suppose the following percentages reflect the daily consumption of coffee for a population of undergraduate college students. Use the model to answer the following questions. What is the expected number of cups of coffee per day for undergraduate college students? 0 0.276 1 1.38 2 Which of the following values must be the approximate value for the standard deviation? (Note: no computations are needed here.) -1.6 0 1.6 4 If you knew an undergraduate college student was a coffee drinker, what would be the probability that the undergraduate consumes exactly one cup of coffee per day? 0.26 0.68 0.3824 0.8125 1 ---Question 2 Type O+ Blood In a large population of adults, 1/3 have Type O+ blood. Suppose 5 adults will be randomly selected from this large population and the number with Type O+ blood will be recorded. If we let X represent the number of adults with Type O+ blood in the random sample of 5 adults from this population, which of the following is the appropriate distribution for X? N(0,1) B(5,1/3) B(1.67, 1.05) U(0,5) None of the above What is the probability that exactly 4 of the sampled adults will have Type O+ blood? 0.8000 0.2000 0.0412 0.0123 0.0082 For random samples of 5 adults from this population, what is the expected number having Type O+ blood? 1 1.67 2 3.33 If this discrete probability distribution were displayed in a probability stick graph, how many probability sticks would there be? 4 5 6 Question 3 Practice with the Standard Normal Distribution Practice with the Standard Normal Distribution (aka the N(0,1) Distribution) ~ Let the variable Z represent a standardized test score which follows the standard normal distribution. What is the probability that of seeing a standardized test score of 2.17 or higher? 0.0179 0.0150 0.9821 0.9850 How likely would it be see a test score within 0.5 standard deviations from the mean score? That is, what is P(-0.5 Z 0.5)? 0.5 0.3085 0.32 0.3830 0.6915 Suppose a standardized test score was z = 1.23. How many standard deviations was that actual test score above the mean test score? 0.1093 0.8907 1.23 Can't tell as we do not know the mean test score nor the standard deviation of test scores. Based on the model, what would be the probability of seeing a standardized test score of exactly 1.23? That is, what is P(Z = 1.23)? 0 0.1093 0.8907 1 Based on the model, what would be the probability of seeing a standardized test score more than 4.22? That is, what is P(Z > 4.22)? about 0 about 0.4220 about 0.5780 about 1