Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years. 34 . What is being measured here? 35 . In words, define the random variable X. 36 . Are the data discrete or continuous? 37 . The interval of values for X is 38 . The distribution forX is _. 39 . Write the probability density function. 40 . Graph the probability distribution. - Sketch the graph of the probability distribution. Figure 5.45 Identify the following values: - Lowest value for 5c - Highest value for X - Height of the rectangle: - Label for X-axis (words): - Label for y-axis (words): 41 . Find the average age of the cars in the lot. 42 . Find the probability that a randomly chosen car in the lot was less than four years old. Sketch the graph, and shade the area of interest. 5.2 The Uniform Distribution Use the following information to answer the next ten questions. The data that follow are the square footage (in 1,000 feet squared) of 28 homes. 1.5 2.4 3.6 2.6 1.6 2.4 2.0 3.5 2.5 1.8 2.4 2.5 3.5 4.0 2.6 1.6 2.2 1.8 3.8 2.5 1.5 2.8 1.8 4.5 1.9 1.9 3.1 1.6 Table 5.4 The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as X ~ U(1.5, 4.5). 16. What type of distribution is this? 7 . In this distribution, outcomes are equally likely. What does this mean? 18. What is the height of f(x) for the continuous probability distribution? 19. 20. 21 22. 23. 24. 25. What are the constraints for the values of x? Graph P(2 9). Find P(x > 9). Find the 40th percentile. Lab 5 5.1 Continuous Probability Functions 1 . Which type of distribution does the graph illustrate? LEW 012345678910 Figure 5.37 3 . Which type of distribution does the graph illustrate? Ax 3 z 1 o 1 2 3 Figure 5.39 4 . What does the shaded area represent? P(_ 15)? 7 . What is the area under f(x) if the function is a continuous probability density function? 8 . For a continuous probability distribution, 0 s X s 10. What is P(X = 7)? 9 . A continuous probability function is restricted to the portion between x = 0 and 7. What is P(x = 10)? 10 . f()() for a continuous probability function is 1/5, and the function is restricted to O s X s 5. What is P(x 3/2). 5.2 The Uniform Distribution