A storage warehouse in a relatively remote part of a county is protected by a homemade burglary detection system. Once actuated by an intruder, the system sounds a horn and flashes a light for 15 minutes, then saves battery power by shutting down and resetting itself until the next intrusion is detected. Police in three patrol cars havethis part of the county as one of their responsibilities, and they routinely drive by the warehouse facility during the hours from dark to dawn. On average, a patrol car passes the warehouse every 20 minutes, and the time between patrol car arrivals is exponentially distributed. It’s the middle of the night and a burglar has just broken into the storage warehouse and set off the alarm. What is the
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Introduction to Business Statistics
- Your desktop computer uses between 100 - 250 watts when in use (depending on the components) and around 3 watts when turned off (on average). NIPSCO is currently charging $0.1165 per kilowatt-hour. How much would you pay for electricity each year even if you never turned your computer on? What if you had it on 24 hours per day, every day? What if you turned it off every night, and only turned it on every evening for a few hours?arrow_forwardChlorine is often added to swimming pools to control microorganisms. If the level of chlorine rises above 3 ppm (parts per million), swimmers will experience burning eyes and skin discomfort. If the level drops below 1 ppm, there is a possibility that the water will turn green because of a large algae count. Chlorine must be added to pool water at regular intervals. If no chlorine is added to a pool during a 24-hour period, approximately 20% of the chlorine will dissipate into the atmosphere and 80% will remain in the water. (a) Determine a recursive sequence an that expresses the amount of chlorine present after n days if the pool has a0 ppm of chlorine initially and no chlorine is added. (b) If a pool has 7 ppm of chlorine initially, construct a table to determine the first day on which the chlorine level will drop below 3 ppm.arrow_forwardWhen it is noon Eastern Standard Time (EST) in Washington, D.C., it is 9:00 a.m. Pacific Standard Time (PST) in Los Angeles. A plane took off from Washington, D.C., at 1:00 p.m. EST and arrived in Los Angeles at 3:00 p.m. PST on the same day. If a second plane left Los Angeles at 1:00 PST and took exactly one hour less time than the other trip, what was the plane's arrival time (EST) in Washington, D.C.? 8:00 BO 5:00 9:00 7:00arrow_forward
- What is PEMDAS?arrow_forwardThe Ritz Hotel has enough space for six taxicabs to loadpassengers, line up, and wait for guests at its entrance. Cabs arrive at the hotel every 10 minutes and if a taxi dri-ves by the hotel and the line is full it must drive on. Hotel guests require taxis every five minutes on average andthen it takes a cab driver an average of 3.5 minutes to load passengers and luggage and leave the hotel (expo-nentially distributed). a. What is the average time a cab must wait for a fare?b. What is the probability that the line will be full when acab drives by and it must drive on?arrow_forwardMexico City Bank of Commerce and Industry is a busy bank. Due to different customers' needs, it needs to assign a different number of tellers at the counter at different times of each day. The table below indicates the number of bank Employees/tellers needed at different hours of a day (from 9 am. to 5 pm) at one of its branches. The branch will hire two different types of Employees/tellers: Full-time Teller and Part-time Tellers. The following is a summary of the info. в Етployees Full-time Employees: The bank currently has employed 18 Full time tellers/employees. Full-time tellers that work from 9 a.m. to 5 p.m. Each full-timer will be paid $85 per day on average. The 18 employees can't be layoff. However, the manager may use only Part of the 18 Full-Time Employees in this branch and relocate the rest to another branch with a relocation-related cost $10 per-employee per-day. That is, the employees to be relocated to another department will cost this department $10, instead of $85, a…arrow_forward
- Hectic Repair Org. HRO) helps repair homes that are structurally weakened by minor earthquakes. After an earthquake, SmartProtect, an insurance company of some affected customers in the area estimates that the standard time to perform a preliminary damage assessment on an average-sized house would be about two hours. On behalf of the affected customers, SmartProtect is willing to pay a HRO employee doing such damage assessments $65 per hour. Suppose that Michael (an employee at HCRO who does flood damage assessment) takes three hours to complete the assessment on an average-sized house. What is Michael efficiency based on the standard time estimated by SmartProtect? a. Approximately one hundred and fifty percent. b. About one-third of an assessment job per hour c. Approximately one hundred and thirty dollars per assessment d. Approximately one hundred and ninety five dollars per assessment (before taxes) e. Approximately sixty seven percent.arrow_forwardA stable population of 35,000 birds lives on three islands. Each year 10% of the population on island A migrates to island B, 20% of the population on island B migrates to island C, and 5% of the population on island C migrates to island A. Find the number of birds on each island if the population count on each island does not vary from year to year.arrow_forwardCCL is a container shipping company that provides ocean transportation services between hong kong and rotterdam. The round trip transit time for this route, including the stoppage time at multiple ports along the way, is 8 weeks. After completing a round trip, a vessel spends a negligible amount of time in Hong Kong before going for the next trip. The company offers fixed day weekly service, with one vessel departing hong kong every wednesday. How many vessels does CCL need for the hong kong rotterdam routearrow_forward
- The Gotham City Police Department employs 30police officers. Each officer works 5 days per week. Thecrime rate fluctuates with the day of the week, so the numberof police officers required each day depends on which dayof the week it is: Saturday, 28; Sunday, 18; Monday, 18;Tuesday, 24; Wednesday, 25; Thursday, 16; Friday, 21. Thepolice department wants to schedule police officers tominimize the number whose days off are not consecutive.Formulate an LP that will accomplish this goal. (Hint: Havea constraint for each day of the week that ensures that theproper number of officers are not working on the given day.)arrow_forwardA researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…arrow_forwardA researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1000s) Annual Revenue ($ millions)11.5. 11810.0. 1359.0. 1005.5. 373.3. 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2…arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage