Part 1

A mnsumer electronics store stocks four aiarrn clock radios. If it has fewer than four clock radios available at the end Ufaweek, the store restocks the item to bring the in-steck level up to four. If weekly demand is greater than the four units in stock, the store loses sales. The radio sells for 526 and costs the store $15. The manager estimates that the probability distribution of weekly demand for the radio is as shown in the provided data table. Complete parts a through d below. Click the icon to view the data table. a. What is the expected weekly demand for the alarm clock radio? The expected weekly demand is (Type an integer or a decimall Do not round) b. What is the probability that weekly demand will be greater than the number oi available radios? The probability is (Type an integer or a decimal. Do not round) Q What is the expected weekly prot from the sale ofthe alarm clock radio? (Remember: There are only four clock radios available in any week to meet demand.) The expected weekly prot is S 1 (Round to the nearest cent as needed.) d. On average, how much prot is lost each week because the radio is not available when demanded? The expected weekly prot lost is 5 . (Round to the nearest cent as needed) \fA large airport records the percentage of airline flights that land no later than 15 minutes after scheduled arrival. The average of these percentages for 12 months last year was 68.3%. These data become available as soon as feasible. However, the airlines can provide preliminary results by obtaining a sample. The accompanying data contains the sample data indicating the number of minutes after scheduled arrival time that the aircraft arrived. Note that a negative entry indicates the minutes earlier than the scheduled arrival time that the aircraft arrived. Complete parts a through c below. Click the icon to view the table of arrivial times. a. Calculate the proportion of sampled airline flights that landed within 15 minutes of scheduled arrival. (Round to three decimal places as needed.) b. Calculate the probability that a sampled proportion of on-time flights would be within 10.04 of a population proportion equal to 0.683. (Round to four decimal places as needed.) c. If the airlines' goal was to attain the same proportion of on-time arrivals as the previous year, do the preliminary results indicate that they have met this goal? Support your assertions. O A. The sample proportion is contained in the interval found in part b. There is a large chance that a O B. The sample proportion is outside the interval found in part b. There is a large chance that a sample proportion would be contained in this interval given the population proportion is still 0.683. sample proportion would be outside this interval given the population proportion is still 0.683. O C. The sample proportion is contained in the interval found in part b. There is a small chance that a O D. The sample proportion is outside the interval found in part b. There is a small chance that a sample proportion would be contained in this interval given the population proportion is still 0.683. sample proportion would be outside this interval given the population proportion is still 0.683.Arrival Time Arrival Time Arrival Time Arrival Time Arrival Time Full data table: 20 28 42 - 15 - 15 -17 - 24 15 12 15 13 21 - 17 - 20 - 5 -1 48 3 2 - 10 4 - 14 -5 - 11 -21 - 5 - 10 23 10 - 2 2 8 14 4 50 - 5 6 - 24 14 55 26 37 12 12 - 16 40 7 28 19 10 47 - 8 28 2 11 49 40 - 14 36 18 - 14 11 9 - 15 11 - 19 15 11 1 - 19 26 - 18 12 -1 -18 15 19 - 21 - 19 47 27 55 26 - 18 - 1 - 20 - 3 9 5 33 -7 - 14 7 0 23 15 13 - 12