3. Find the following for the standard normal curve: {For each part - Shade and label appropriately; State your calculator entry; Give 4 decimal places for probabilities, 3 decimal places for zscores}. a. The percentile rank ofz = 1.45 b. i20,135 c. The z-scores that cut off the symmetric middle 98.2% area 4. The standard normal ,r' curve has areas shaded and labeled. Fill in the Ill m three missing values. l (Show all work; Give calculator entries; Give 3 decimal places.) d. The area shown below @ MAT 133: Ch. 7 Review W5 2 p. 3 5. In 2013, the amount of water Americans drank annually was normally distributed with a mean of 23.2 gallons and a standard deviation of 2.7 gallons. This distribution is shown below with some areas shaded that are NOTequal in size. [Source] 3. Find the three missing pieces of the graph of this distribution below (Show all work and give calculator entries and 3 decimal places.) 0.864 IX 737900 Xr c. Suppose there is a 20% chance that more than X amount of people are incarcerated in jails today. Find X.Ch 7 Review Worksheet 1. A random sample of enrollments in Pennsylvania's private four-year colleges is taken. Is it reasonable to assume the sample is coming from an approximately normal population? Explain. 2. Consider the following graph containing normal curves A, B, and C. a. Which graph has the smallest mean? Explain how you can tell. b. Which curve has the largest standard deviation? Explain how you can tell. MAT 133: Ch. 7Rew'ew W52 p2 illd l.' I'll'i U I... III II-i IJIII Um H E] mm b. Provide two interpretations of X2 = 22.717 and Agin the context of the situation. (One using proportion, one using probability; Give units). MAT 133: Ch. 7 Review W5 2 p. 4 6. The average dailyjail population in the U.S. in 2018 was normally distributed with a mean of 737,900 inmates and a standard deviation of 69670. (For each part ~ Shade and label appropriately; State your calculator entry; Give 4 decimal places for probabilities, whole numbers X- values; Give units, where appropriate). (Source) a. P (X