Question

A large hospital has an average of 7 fatalities in a week. What is the probability that this week it has 10 fatalities? 1. The FBI kept records of people who were given polygraph tests and found that 15% of the trustworthy people fail the test. 2. Ten trustworthy people just took the polygraph test, what is the probability that all 10 pass? What is the probability that more than 2 of the 10 fail? a. b. The FBl says that 500 trustworthy people took the polygraph test. The percentage of failure for trustworthy people is still 15%. what is the mean and standard deviation for this group? 3. The 2010 Census revealed that 29% of all firms in the US are owned by women. You call some firms doing business locally, assuming the national percentage is true in your area. 4. What is the probability that the first 3 you call are all owned by women? What's the probability that none of your first four calls finds a firm that is owned by a woman? a. b. Condé Nast Traveler publishes a Gold List of the top hotels all over the world. The Broadmoor Hotel in Colorado Springs contains 700 rooms and is on the 2004 Gold List. Suppose Broadmoor's marketing group forecasts a mean demand of 670 rooms for the coming weekend. Assume that demand for the upcoming weekend is normally distributed with a standard deviation of 30. 5. a. b. c. What is the probability all the hotel rooms will be rented? What is the probability 50 or more rooms will not be rented? Would you recommend the hotel consider offering a promotion to increase demand? What considerations would be important?

Please answer all questions, 1-5. Thank you.

Answer 1