14 Exercise 6-50 (Algo) (LO6-5) 6.66 An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an points 4.0 non-work-related e-mails per hour. Assume the arrival of these e-mails is approximated by the Poisson distribution. a. What is the probability Linda Lahey, company president, received exactly 3 non-work-related e-mails between 4 p.m. a yesterday? (Round your probability to 4 decimal places.) eBook Probability Print References b. What is the probability she received 5 or more non-work-related e-mails during the same period? (Round your probabi decimal places.) Probability c. What is the probability she received three or less non-work-related e-mails during the period? (Round your probability decimal places.) Probability15 6.76 points References Exercise 6-59 (Algo) (LOG-5) Refer to the Baseball 2018 data. Compute the mean number of home runs per game. To do this, first nd the mean numbe runs per team for 2018. Next, divide this value by 171 (a season comprises 171 games). Then multiply by 2 because there ai teams in each game. Use the Poisson distribution to estimate the number of home runs that will be hit in a game. (Round answers to 4 decimal places.) Click here for the Excel Data File a. Find the probability that there are no home runs in a game. l b. Find the probability that there are two home runs in a game. l c. Find the probability that there are at least four home runs in a game. l 7 Exercise 6-8 (Algo) (LO6-3) 6.66 The Downtown Parking Authority of Tampa, Florida, reported the following information for a sample of 229 customers on the number points of hours cars are parked. Number of Hours Frequency Click here for the Excel Data File -1. Convert the information on the number of hours parked to a probability distribution. (Round your answers to 3 decimal places.) Answer is not complete. Number Hours Frequency Pr(x) 21 0.092 38 0.166 50 45 0.197 0.022 0.157 a-2. Is this a discrete or a continuous probability distribution? Discrete Continuous b-1. Find the mean and the standard deviation of the number of hours parked. (Do not round the intermediate calculations. Round your final answers to 3 decimal places.) Answer is complete and correct. Mean 4.087 Standard deviation 2.184 places.) b-2. How long is a typical customer parked? (Do not round the intermediate calculations. Round your final answer to 3 decimal Answer is complete but not entirely correct. The typical customer is parked for 4.069 & hours c. What is the probability that a car would be parked for more than 6 hours? What is the probability that a car would be parked for 3 hours or less? (Round your answers to 3 decimal places.) & Answer is complete but not entirely correct. P(time parked 2 6 hours) 8.860 & P(time parked s 3 hours) 4.812 X