He prior probabilities for events and are and . It is also known that . Suppose and . a. Are events and mutually exclusive?

Yes

Explain.

(i) P(A1 ∩ A2) = 0

(ii) P(A1) + P(A2) = 1

(iii) P(A2) ≠ P (A2 | A1)

(iv) P(A2) ≠ P(A2 | A1)

Galwaysc electronics makes two products. model a requires component a and component c. model b requires component b and component c. new versions of both models are released each year with updated versions of all components. all components are sourced overseas, and abc contracts annually for a quantity of each component before seeing that year’s demand. components are only assembled into finished products once demand for each model is known. for the coming year, alwaysc’s purchasing manner has proposed ordering 500,000 units of component a, 630,000 of component b, and 1,000,000 units of component c. her boss has asked why she has recommended purchasing so much of components a and b when alwaysc will not have enough of component c to fully use all of the inventory of a and b. what factors might the purchasing manager cite to explain her recommended order? explain your reasoning.

You decide to invest in a portfolio consisting of 25 percent stock a, 25 percent stock b, and the remainder in stock c. based on the following information, what is the expected return of your portfolio? state of economy probability of state return if state occurs of economy stock a stock b stock c recession .16 - 16.4 % - 2.7 % - 21.6 % normal .55 12.6 % 7.3 % 15.9 % boom .29 26.2 % 14.6 % 30.5 %

Which of the following best explains why the demand for housing is more flexible than the supply? a. new housing developments are being constructed all the time. b. low interest rates for mortgages make buying a home very affordable. c. the increasing population always drives demand upwards. d. people can move more easily than producers can build new homes.