135 UB students were surveyed and asked how many hours a week they spent studying. The results are in the table below. Less than 5
5 to 10
More than 10
Total
Male (M)
25
25
20
70
Female (F)
20
30
15
65
Total
45
55
35
135
a) Complete the joint and marginal probability. (4 marks)

b) Find the probability that a student studied 5 to 10 hours. (2 marks)

T-comm makes a variety of products. it is organized in two divisions, north and south. the managers for each division are paid, in part, based on the financial performance of their divisions. the south division normally sells to outside customers but, on occasion, also sells to the north division. when it does, corporate policy states that the price must be cost plus 20 percent to ensure a "fair" return to the selling division. south received an order from north for 300 units. south's planned output for the year had been 1,200 units before north's order. south's capacity is 1,500 units per year. the costs for producing those 1,200 units follow

Suppose the government enacts a stimulus program composed of $600 billion of new government spending and $300 billion of tax cuts for an economy currently producing a gdp of $14 comma 000 billion. if all of the new spending occurs in the current year and the government expenditure multiplier is 1.5, the expenditure portion of the stimulus package will add nothing percentage points of extra growth to the economy. (round your response to two decimal places.)

Consider the following two projects. both have costs of $5,000 in year 1. project 1 provides benefits of $2,000 in each of the first four years only. the second provides benefits of $2,000 for each of years 6 to 10 only. compute the net benefits using a discount rate of 6 percent. repeat using a discount rate of 12 percent. what can you conclude from this exercise?