An amusement park

5. (20 points) Random Processes Let g (t) be the rectangular pulse shown below. The random process X(t) is defined as X(t) = Ag(t), where A is uniformly distributed between -1 and + 1. 0 g (t) = (1, if0 t = 1 10, otherwise (a) (10 pts) Find my(t). (b) (10 pts) Find the autocovariance function: Cx(t, t + d).Question 12 1 pts If X and Y are Independent, then cov(X,Y) = 0. True OFalse Question 13 1 pts If cov(X,Y)=0, then X and Y are independent. True OFalse Question 14 1 pts The correlation coefficient is a number between -1 and 1, and represents the dependence of two variables. positive O linear exponential O negative Question 15 1 pts As n increases, the variance of the sample means decreases. True False Question 16 1 pts If two random variables are uncorrelated, then E[XY]=E[X]E[Y]. O True FalseAn amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Titre alternative loadingfunloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride. a factorial experiment was designed. Use the following data to test for any signicant effect due to the loading and unloading method, the type of ride, and interaction. Use a : .05. Factor A is method of loading and unloading; Factor B is the type of ride. Type of Ride Roller Coaster Screamlng Demon Long Flume Method 1 47 53 54 49 45 50 Method 2 49 52 47 51 4a 43 Set up the move table (to whole number, but p-value to 2 decimals and F value to 1 decimal, if necessary). Source of Variation Sum o1 Squares Degrees of Freedom Mean Square F p-value Factor a |.:l '3 l_:l 0 |:l 0 |:l 9 I:I 9 as... ila l:l0 l:l0 l;:l9 l:l Interaction I I 0 I 0 II 0 I I a I I 0 I":1I l:lo I:! Total I:I O I:I 0