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4. [/1 Points] DETAILS BBUNDERSTAT12 6.1.005. MY NOTES ASK YOUR TEACHER (a) What percentage of the area under the normal curve lies to the left of ,u? (b) What percentage of the area under the normal curve lies between u J and pi + a? (c) What percentage of the area under the normal curve lies between p 30 and u + 30? Need Help? _'_ _ Assuming that the heighls of college women are normally distributed with mean 62 inches and standard deviation 3.1 inches, answer the following questions. (Hint: Use the figure below with mean ,u and standard deviation (7.) Area Under a Nomial Curve 99.7% (a) What percentage of women are taller than 62 inches? (b) What percentage of women are shorter than 62 inches? \"/0 (c) What percentage of women are between 58.9 inches and 65.1 inches? (d) What percentage of women are between 55.8 and 68.2 inches? 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 7.6 ounces and standard deviation of 0.4 ounce. Examine the figure below and answer the following questions. Area Under a Nomial Curve (3) 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 Bounce cup. (Round your answer to two decimal places.) (c) The machine has just been loaded with 825 cups. How many of these cups do you expect will overflow when served? x cups 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. Robert 1.06 Juan 1.66 Haley -2.06 Joel 0.00 Jan -0.92 Linda 1.64 (a) Which of these students scored above the mean? (Select all that apply.) O Robert O Juan O Haley O Joel O Jan O LindaCourses X Welcome | MyOttawa X Content X VA 6.2 Hmwk - Std Units & Area Unc X + X @ https://www.webassign.net/web/Student/Assignment-Resp... sd (b) Which of these students scored on the mean? (Select all that apply.) O Robert O Juan O Haley O Joel O Jan O Linda (c) Which of these students scored below the mean? (Select all that apply.) O Robert O Juan O Haley O Joel O Jan O Linda (d) If the mean score was u = 154 with standard deviation o = 19, what was the final exam score for each student? (Round your answers to the nearest whole number.) Robert Juan Haley Joel Jan Linda Type here to search O w 43OF 2:42 PM 2/19/2022