On Mr. Casper’s debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85.

Compute the cost of not taking the following cash discounts. (use a 360-day year. do not round intermediate calculations. input your final answers as a percent rounded to 2 decimal places.)

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1

A$100 million interest rate swap has a remaining life of 10 months. under the terms of the swap, the six-month libor is exchanged semi-annually for 12% per annum. the six-month libor rate in swaps of all maturities is currently 10% per annum with continuous compounding. the six-month libor rate was 9.6% per annum two months ago. what is the current value of the swap to the party paying floating? what is its value to the party paying fixed?