Một người tham gia trò chơi bằng cách phải trả lời hết 20+k câu hỏi trắc nghiệm, mỗi câu có 5 đáp án, trong đó chỉ có 1 đáp án đúng. Mức giá khi tham gia trò chơi là 3000 đồng mỗi câu, trả lời đúng 1 câu thì được thưởng 10000 đồng. Giả sử người đó không biết gì về các câu hỏi, trả lời bằng cách trọn ngẫu nhiên một đáp án cho mỗi câu hỏi. a, Sau khi chơi xong, trung bình người đó lãi được bao nhiêu tiền.
b, Tính xác suất để sau khi chơi xong người đó không bị lỗ
c, Tìm mức thưởng cho mỗi câu trả lời đúng để trung bình sau khi chơi xong người đó không bị lỗ.

Alandowner entered into a written agreement with a real estate broker whereby the broker would receive a commission of 10% of the sale price if he procured a "ready, willing, and able buyer" for the landowner's property and if the sale actually proceeded through closing. the broker found a buyer who agreed in writing to buy the property from the landowner for $100,000, the landowner's asking price. the buyer put up $6,000 as a down payment. the agreement between the landowner and the buyer contained a liquidated damages clause providing that, if the buyer defaulted by failing to tender the balance due of $94,000 at the closing date, damages would be 10% of the purchase price. the landowner included that clause because she was counting on using the proceeds of the sale for a business venture that would likely net her at least $10,000. the buyer became seriously ill and defaulted. when he recovered, he demanded that the landowner return his $6,000, and the landowner refused. the broker also demanded the $6,000 from the landowner and was refused. the broker and the buyer filed separate suits against the landowner, with the buyer pleading impossibility of performance. the two cases are consolidated into a single case. how should the court rule as to the disposition of the $6,000?

Which critical success factor improves with reduced cycle time, better quality standards, and improved efficiency when an is is implemented?

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?