Apen company averages 1.2 defective pens per carton produced (200 pens). the number of defects per carton is poisson distributed.

a. what is the probability of selecting a carton and finding two defective pens?

b. what is the probability of finding nine or more defective pens in a carton?

c. suppose a purchaser of these pens will quit buying from the company if a carton contains more than three defective pens.

what is the probability that a carton contains more than three defective pens?

Budget in this final week, you will develop a proposed budget of $150,000 for the first year of the program and complete the final concept paper for the proposed program due for senior management review. the budget should identify the program's anticipated expenses for the year ahead. budget line items should be consistent with the proposed program and staffing plan. using the readings for the week, the south university online library, and the internet, complete the following tasks: create a proposed budget of $150,000 for the first year of the proposed program including the cost for personnel, supplies, education materials, marketing costs, and so on in a microsoft excel spreadsheet. you may transfer your budget to your report. justify the cost for each item of the proposed budget in a budget narrative.

In 2015, lori assigned a paid-up whole life insurance policy to an irrevocable life insurance trust (ilit) for the benefit of her three children. the ilit contained a crummey provision for the benefit of each child. at the time of the transfer, the whole life insurance policy was valued at $200,000, and since lori had not made any other taxable gifts during her lifetime, she did not owe any gift tax. lori died in 2016, and the face value of the whole life insurance policy of $2,000,000 was paid to the ilit. regarding this transfer, how much is included in lori’s gross estate at her death?

The former chairman of the federal reserve, alan greenspan, used the term "irrational exuberance" in 1996 to describe the high levels of optimism among stock market investors at the time. stock market indexes such as the s& p composite price index were at an all-time high. some commentators believed that the fed should intervene to slow the expansion of the economy. why would central banks want to clamp down when the economy is growing? a. to block the formation of unsustainable speculative asset bubbles. b. to curtail excessive profits in the banking system. c. to prevent inflationary forces from gathering momentum. d. all of the above. e. a and c only.