Question 1. The Centers for Disease Control and Prevention reported that diastolic blood pressures of adult women in the U.S. are approximately normally distributed with mean 80.5 and standard deviation 2.9. Find the 67th percentile of the blood pressures. [2 pts] Question 2. If a normal population has a mean of 1 and a standard deviation of , then the area to the right of u + o is less than 0.5. [1 pt] True False Question 3. At Denver International Airport, 81% of recent flights have arrived on time. A sample of 12 flights is studied. (a) Find the probability that all 12 of the flights were on time. [1 pt] (b) Find the probablity that 10 or more of the flights were on time. [1 pt] (c) Find the expected number of flights that arrived on time. [1 pt] Question 4. The World cup soccer tournament has been held every four years since 1930, except 1942 and 1946. The following table presents the number of goals scored by the winning team in each championship game. Goals Distribution Consider these 19 games to be the population. Let X be the number of goals scored in a game randomly chosen from this population. (a) Construct the probability distribution of X. For extra space, construct it next to the frequency table. [1 pt] (b) Find the probability that fewer than four goals were scored. [1 pt] (c) Compute the mean u and standard deviation o [2 pts] Question 5. At a certain car dealership, the probability that a customer purchases an SUV is 0.20. Given that a customer purchases an SUV, the probability that it is black is 0.25. What is the probability that a customer purchases a black SUV? [2 pts] Extra Credit [1 pt]: Mensa is an organization whose membership is limited to people whose [Q is in the top 2% of the population. Assume that scores on an |Q test are normally distributed with mean u = 100 and standard deviation = 15. What is the minimum score needed to quialify for membership in Mensa