Test: Chapter 6 Post-Test

Test: 6 Post-Test Question 4 of 10 test: 10 point(s) possible Resume later quesdon: 1 point(s) possible Submit test Cars arrive at a certain restaurant's drive-through at a rate of 0.2 cars per minute between the hours of 11 P.M. and 1:00 A.M. on Saturday evening. The restaurant begins an advertising blitz that touts its late-night service. After one week of advertising, the restaurant's officials count the number of cars, X, arriving at the restaurant's drive-through between the hours of 12:00 midnight and 12:30 A.M. for 196 of its restaurants. The results are showm in the following table. Use the table to answer parts (a) through (c) to the right. Click the icon to view the data table. Restaurant car arrival frequency (a) Construct a probability distribution for the random variable X, assuming it follow's a Poisson process with 0.2 and t = 30. This is the probability distribution of X before the advertising. Remember that Calculate the probabilities below. x (number of cars arriving) 2 3 4 6 6 7 8 10 11 12 13 14 15 16 Frequency 6 4 12 24 24 25 25 28 21 14 6 2 3 2 x of arriving) 2 3 4 6 7 8 x (#of cars arriving) 11 12 13 14 16 16 (Type integers or decimals rounded to four decimal places as needed.) (b) Compute the expected number of restaurants that will have O arrivals, 1 arrival, and so on. Compute the number of restaurants that expect to have x cars. x (#of Number of x(#of Number of cars) restaurants cars) restaurants @ Time Remaining: 02:30:24 Next Numbers