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Find the mean and standa rd deviation for each uniform continuous model. (Round "Mean" answers to 1 decimal place and "Standard deviation" answers to 4 decimal places.) 5 Mean Standard deviation a. u(4, 1(a) b. u(7e, 249) (2. ms, 99) eBook points HUM References Joan's nishing time for the Bolder Boulder 10K race was 1.66 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 many women ran faster than Joan? (Round down your answer to the nearest whole number.) 5 points Number of women |:] eBook Referen C es High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top ll 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 5 recognized? (Round your answer to 2 decimal places.) points Standard deviations |:| eBook References 5 Last year's freshman class at Big State University totaled 5,340 students. Ofthose, 1,252 received a merit scholarship to help offset tuition costs their freshman year (although the amount varied per student). The amount a student received was N($3,462, $482). If the cost of full tuition was $4,150 last year, what percentage of students who received a merit scholarship did not receive enough to cover 5 full tuition? (Round your answer to the nearest whole percent.) Percentage of students |:| 96 poi nts eBook References The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 310 grams and a standard deviation of 10 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.) 10 points a. Highest 10 percent b. Middle 50 percent to c. Highest 80 percent eBook d. Lowest 10 percent Hint Ask Print ReferencesTire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure ofa certain car is 28 psi (pounds per square inch.) 10 (a) At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.) points When the tire pressure is Click to select v |:| psi. !l (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 psi. If the car's average tire SEE\" pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.) , Probability \\:| Ask (c) The manufacturer's recommended correct ination range is 26 psi to 30 psi. Assume the tires' average psi is on target. lfa tire on the car is inspected at random, what is the probability that the tires inflation is within the recommended range? (Round your E intermediate calculations and final answer to 4 decimal places.) Probability |:| References