### Statistics 300

The mean monthly rent for 1-bedroom apartments in Sacramento is \$932 with a standard deviation of \$128. The middle 73% of apartments have rent between what two values?

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The annual snowfall amounts in Lake Tahoe are normally distributed with a mean of 210 inches and a standard deviation of 17 inches. What is the probability that the annual snowfall of a randomly picked year is more than 247 inches?

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Typing speed is approximately normal, with a mean speed of 45 words per minute and a standard deviation of 19 words per minute. What is your typing speed if you are at the 95th percentile?

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Credit scores are normally distributed with a mean of 562 and a standard deviation of 107. What credit score separates the top 19%?

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The weights of salmon in the Sacramento River are normally distributed with a mean of 36 pounds and a standard deviation of 7 pounds. What percent of salmon have weights less than 27 pounds?

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Scores on a statistics final in a large class were normally distributed with a mean of 71 and a standard deviation of 9. What is the probability that a randomly chosen student scored between 80 and 90?

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The cholesterol levels for U.S. adults are normally distributed with a mean of 207 and a standard deviation of 44. What cholesterol level separates the lowest 17%?

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The mean income for people in Dallas (in thousands of dollars) is 40 with standard deviation 18 (thousands of dollars). A pollster selects a random person to interview. What is the probability that the person’s income is more than 34 (thousands of dollars)?

Episodes of shows on Disney+ have a mean length of 38.8 minutes and a standard deviation of 8.1 minutes. What percent of episodes on Disney+ are between 45 minutes and 50 minutes long?

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The mean distance that commuters in the U.S. travel each day to work is 24 miles. The standard deviation is 5 miles. Assuming the commute distances are normally distributed, we can determine that 89% of the commute distances are between what two values?

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