Question 1:

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.8 ounces and standard deviation of 0.2 ounces. Examine the figure below and answer the following questions. - 2.35% 34% 34% 0.15% 13.5% 13.5% 2.35% 0.15% H - 30 H - 20 H - 0 # + 20 /+ 30 68% 95% 99.7%a.) Estimate the probability that the machine will overflow an B-ounce cup. {Round your answer to two decimal places} H b.) Estimate the probability that the machine will not overflow an Bvounce cup. {Round your answer to two decimal places} U c.) The machine has just been loaded with 32m cups. How many of these do you expect will overflow when seryediII U The college Physical Education Department offered an Advanced First Aid course Last summer. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below. a.) Which of these students scored above the mean? [Select all that apply.) |:| Taylor D Am? B Bn'a |:| Courtney D Kristina D Amanda b.) Which of these students scored on the mean? (Select all that apply.) Amanda Courtney Taylor Amy O Kristina Bria c.) Which of these students scored below the mean? (Select all that apply.) Amy Taylor Courtney Bria Amanda O Kristinad.) If the mean score was p. = E? with standard deviation 0 = 2, what was the final exam score for each student? [Round your answers to the nearest whole number.) m -:l -:l S: A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.8 ounces and standard deviation of 0.2 ounces. Examine the figure below and answer the following questions. 34% - - 2.35% 34% 0.15% 13.5% 13.5% 2.35% 0.15% 4 - 30 u - 20 A - 0 LL H + 20 H + 30 68% 95% 99.7%a.) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.) b.) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.) c. ) The machine has just been loaded with 3200 cups. How many of these do you expect will overflow when served?The heights of women at a particular college are normally distributed with mean 65 inches and standard deviation 2.5 inches, answer the following questions. (Hint: Use the figure below with mean / and standard deviation o.) 2.35% 34% 34% 0.15% 13.5% 13.5% 2.35% 0.15% 4 - 30 4 - 20 4 - 0 # + 20 4 + 30 68% 95% 99.7%a.) What percentage of women are taller than 65 inches? b.) What percentage of women are shorter than 65 inches? c.) What percentage of women are between 62.5 inches and 67.5 inches? d.) What percentage of women are between 60 and 70 inches? e.) What percentage of women are shorter than 70 inches