The discrete random variable X is the number of passengers waiting at a bus stop. The table below shows the probability distribution for X. What is the expected value E(X) for this distribution? X 0 1 2 3 Total
P(X) .40 .30 .20 .10 1.00

Afirm plans to begin production of a new small appliance. the manager must decide whether to purchase the motors for the appliance from a vendor at $10 each or to produce them in-house. either of two processes could be used for in-house production; process a would have an annual fixed cost of $200,000 and a variable cost of $7 per unit, and process b would have an annual fixed cost of $175,000 and a variable cost of $8 per unit. determine the range of annual volume for which each of the alternatives would be best. (round your first answer to the nearest whole number. include the indifference value itself in this answer.)

Tony prince is the project manager for the recreation and wellness intranet project. team members include you, a programmer/analyst and aspiring project manager; patrick, a network specialist; nancy, a business analyst; and bonnie, another programmer/analyst. other people are supporting the project from other departments, including yusaff from human resources and cassandra from finance. assume that these are the only people who can be assigned and charged to work on project activities. recall that your schedule and cost goals are to complete the project in six months for under $200,000.task 2identify at least eight milestones for the recreation and wellness intranet project. write a short paper describing each milestone using the smart criteria. discuss how determining these milestones might add activities or tasks to the gantt chart. remember that milestones normally have no duration, so you must have tasks that will lead to completing the milestone.

Janis owns and operates a store in a country experiencing a high rate of inflation. in order to prevent the value of money in her cash register from falling too quickly, janis sends an employee to the bank four times per day to make deposits in a interest-bearing account that protects the store's revenues from the effects of inflation. this is an example of the (menu costs/ unit of account costs/ shoesleather costs) of inflation. pick one