1.) Think about a density curve that consists of two line segments. The first goes from the point (0, 1) to the point (0.1, 1). The second goes from (0.1, 1) to (0.7, 2) in the xy-plane. What percent of observations fall below 0.05?
2.) Think about a density curve that consists of two line segments. The first goes from the point (0, 1) to the point (0.1, 1). The second goes from (0.1, 1) to (0.7, 2) in the xy-plane. What percent of observations fall between 0.1 and 0.7?
3.) Consider a uniform density curve defined from x = 0 to x = 5. What percent of observations fall below 3?
4.) Consider a uniform density curve defined from x = 0 to x = 10. What percent of observations fall between 1 and 8?
5.) Consider a spinner that, after a spin, will point to a number between zero and 1 with "uniform probability". Determine the probability: P(1⁄8 ≤ X ≤ 21⁄40).
6.) The heights of students in a class are normally distributed with mean 54 inches and standard deviation 6 inches. Use the Empirical Rule to determine the interval that contains the middle 99.7% of the heights.
7.) The length of time needed to complete a certain test is normally distributed with mean 95 minutes and standard deviation 10 minutes. Find the probability that it will take less than 107 minutes to complete the test.