1) The average daily jail population in the United States is 706,242. If the distribution is normal and the standard deviation is 52,145, find the probability that on a randomly selected day, the jail population is

• Greater than 75,000
• Between 6000,000 and 700,000

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2) The national average SAT score (for Verbal and Math) is 1028. If we assume a normal distribution with \(\sigma= 92\), what is the 90th percentile score? What is the probability that a randomly selected score exceeds 1200?

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3) The average number of calories in a 1.5-ounce chocolate bar is 225. Suppose that the distribution of calories is approximately normal with \(\sigma = 10\). Find the probability that a randomly selected chocolate bar will have

• Between 200 and 220 calories
• Less than 200 calories