Quantitative Methods and Confidence Interval for Demand Worksheet hello, i have a problem set that has to be completed by tonight which only requires you t

Quantitative Methods and Confidence Interval for Demand Worksheet hello, i have a problem set that has to be completed by tonight which only requires you to answer 5 questions in quantitative methods QMTH 205
Problem Set 4
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1. A large hospital has an average of 7 fatalities in a week. What is the probability that this week it
has 10 fatalities?
2. The FBI kept records of people who were given polygraph tests and found that 15% of the
trustworthy people fail the test.
a. Ten trustworthy people just took the polygraph test, what is the probability that all 10
pass?
b. What is the probability that more than 2 of the 10 fail?
3. The FBI 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?
4. 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.
a. What is the probability that the first 3 you call are all owned by women?
b. What’s the probability that none of your first four calls finds a firm that is owned by a
woman?
5. 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.
a. What is the probability all the hotel rooms will be rented?
b. What is the probability 50 or more rooms will not be rented?
c. Would you recommend the hotel consider offering a promotion to increase demand?
What considerations would be important?

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