Customers arrive at a carwash on average once every 40 minutes. It seems likely that customer arrivals follow an exponential distribution. For each of these random numbers, calculate the simulated time between arrivals at the carwash. (Round your answers to the nearest whole number.) Random Number Time Between Arrivals 0.44 0.46 0.22

Terri Vogel, an amateur motorcycle racer, averages 129 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.26 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.                                                                                                                                                                            question: The middle 50% of her laps are from _____ seconds to  _______ seconds.

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4. As fallen trees lie on the forest floor they slowly decay. Will the amount of light present have an impact on the rate of decay? In the following table x is a random variable representing the remaining percentage of total mass of a log after it was exposed to the elements for three weeks while y represents the numbers of hours of direct sunlight the log received each day. X 0.60 .70 .65 .82 .87 y 1.0 2.3 3.0 4.0 4.5 (a) Plot a scatter diagram of the data. Remember to label your axes appropriately and choose a consistent scale. (b) Based on a scatter diagram, would you estimate the correlation coefficient to be positive, close to zero, or negative? Please circle one of the following choices: A. Positive B. Close to zero C. Negative (c) Interpret your results from parts (a) and (b). 16 tv