I am having a hard time with these ones.

Joan's finishing time for the Bolder Boulder 10K race was 1.81 standard deviations faster than the women's average for her age group. There were 410 women who ran in her age group. Assuming a normal distribution, how ma ny women ran faster than Joan? [Round down your answer to the nearest whole number.) Number of women :] High school students across the nation compete in a financial capability challenge each year by taking a National :inancial Capability Challenge Exam. Students who score in the top 19 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized? (Round your answer to 2 decimal places.) Standard deviations |:| Last year's freshman class at Big State University totaled 5,336 students. Of those, 1,260 received a merit scholarship to help offset tuition costs their freshman year (although the amount varied per student). The amount a student received was /($3,459, $466). If the cost of full tuition was $4,200 last year, what percentage of students who received a merit scholarship did not receive enough to cover full tuition? (Round your answer to the nearest whole percent.) Percentage of students 9%The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 390 grams and a standard deviation of 9 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.) a. Highest 10 percent b. Middle 50 percent to c. Highest 80 percent d. Lowest 10 percentTire pressure monitoring systems {TPMS} warn the driver when the tire pressure of the vehicle is 28% below the target pressure. Suppose the target tire pressure of a certain car is 32 psi [pounds per square inch.) [a] At what psi will the TPMS trigger a warning for this car? {Round your answer to 2 decimal place.} When the tire pressure is (Click to select} v |:| psi. lb} Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 psi. If the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.) Probability |:| lc) The manufacturer's recommended correct ination range is 30 psi to 34 psi. Assume the tires\" average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire's inflation is within the recommended range? {Round your intermediate calculations and nal answer to 4 decimal places} Probability |:| Find the mean and standard deviation for each uniform continuous model. {Round \"Mean\" answers to 1 decimal place and "Standard deviation" answers to 4 decimal places.} Mean Standard deviation a. mm, 15] b. u(11a, 199) c. ma, 9?]