Benny's Arcade has 5 video game machines. The average time between machine failures is 100 hours. Jimmy, the maintenance engineer, can repair a machine in 16 hours on average. The machines have an exponential failure distribution, and Jimmy has an exponential service-time distribution.

The number of people infected with coronavirus doubles every 3.0 days. How many days does it take for the U.S. to go from one case (patient zero) to all 330,000,000 Americans being infected.

Starting in 1983 the number of visitors (in thousands) to a park has decreased by 9.6 thousands people every four years. In addition, records show that in 1987 there were 83.8 thousand visitors to the park. If the current trend continues when will the number of visitors be 55.9 thousand people?

Express all answers as decimals rounded to 3 decimal places, if needed. Express percentages as decimals (instead of 25.6%, use .256) Cell phone users in Boise can choose between three carriers: Sprint, AT&T, and Verizon. Advertising by all three companies results in a continual shift of customers. Each year, Sprint loses 30% of customers to AT&T and 30% to Verizon. AT&T loses 20% to Sprint and 10% to Verizon. Verizon loses 25% to Sprint and 25% to AT&T. Currently, Sprint has 25% of the market, AT&T has 35%, and Verizon has 40%. Use the order Sprint (S), AT&T (A), Verizon (V) throughout this assignment. 1. State the probability vector: 2. Create the transition matrix, labeling rows and columns, and draw the transition diagram. Create your matrix with the rows ordered S, A, and V, and columns ordered S, A, and V. 3. Assume that for 5 years this trend continues. State the transition matrix after 5 years. 4. What is the market share for each company after 5 years? Sprint: AT&T: Verizon: 5.…

If a household has 3 members, and has an annual income of $100,000, predict this household’s monthly spending.

When a petroland oil well was first brought on line, it produced 1,900 barrels of crude oil a day. in each later year, owners expected itss daily production to drop by 70 barrels. find the daily production after 2.5 years

The price of a commodity increased by 10% in the first year and by 20% in the second year. However, it decreased by 40% in the third year. But it again started rising and increased by 5% in the fourth year. Find the average increase or decrease in the price of the commodity over the period of four years.

The results of this program are shown in the following table. The population change is the number of deer born minus the number of deer that died during that year. The herd population started at 2000 when this study began. Calculate the number of deaths (predation + starvation). To determine the deer population change, subtract the number of deaths from births (births - deaths), this can be a positive number, indicating growth, ora negative number which indicates a population decline. Calculate the deer population by adding/subtracting the population change from the population the year before The first row (1971) has been completed for you as an example. Graph the deer and wolf populations as two lines (color and label) Wolf Population Births Number of Deer Population deaths Year Deer Predation Starvation Deer Change Population 1970 starting population, data unknown for prior year. 2000 1971 10 800 400 100 500 +300 2300 1972 12 920 480 240 1973 16 1,000 640 500 1974 22 944 880 180 1975…

Stadium View Apartment  Complex has 20 apartments to rent. Historical data             Trend suggests that any time rent increases by $50.00 per month one apartment             becomes vacant. The current rent is $400.00 per month. How many $50.00             increases will enable Stadium View Apartments maximize its total monthly rent             revenue?

The number of infected people in a population grows by 8% per day and those who become infected remain infected. If initially there are 8 infected, how many individuals will be infected in 45 days?