The basic blood types are represented by letters: A, B, AB, and O. There is also an Rh factor represented by either positive or negative. If a local blood bank labels donations according to type, Rh factor, and gender (Male or Female), how many different ways can a blood sample be labeled? a. How many different blood types are there? b. How many Rh Factors are possible? c. How many different genders are listed? d. Using the Fundamental Counting Principle, how many different ways can a blood sample be labeled?

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A machine puts out 10 defective units in a sample of 200 units. After the machine is overhauled it puts out 4 defective units in a sample of 100 units. Has the machine been improved ?

1. Mark 30 small pieces of paper with an A, a B, or a C. Put the pieces of paper in a bag. Trade bags with other students in the class. a. Generate a sample by choosing a piece of paper from your bag 10 times, replacing the piece of paper each time. Record the number of times you choose each letter. Repeat this process to generate five more samples. b. Use each sample to make an estimate for the number of As and Bs in the bag. Then describe the variation of the six estimates. Make estimates for the numbers of As, Bs, and Cs in the bag based on all the samples. c. Take the pieces of paper out of the bag. How do your estimates compare to the population? Do you think you can make a more accurate estimate? If so, explain how.

Dr. A. Ventura is interested in determining what kinds and how many pets people own in Bakersfield. He stands outside Petco and asks people what kind of pet they own. This is the result of his survey: dog=1; cat=2; bird=3; reptile=4; fish=5; other=6 1,1,2,2,2,1,1,3,2,3,1,1,1,2,2,4,4,2,2,1,1,1,5,4,3,4,1,1,1,2,2,6,1,1,2,2,1,2,1,2,6,3,4,5

A low-cost airline currently checks its passengers using two desks and a Maitre d'Hotel queuing system. Passengers arrive according to a Poisson process with a mean rate of 35 per hour, and the check in time at either desk is negatively exponentially distributed with a mean time of 3.2 minutes per passenger. The airline is considering implementing a new system which is expected to halve the mean check-in time whilst also making the process less variable so that the standard deviation of check in times will be only 0.6 minutes. The airline's management is hoping that, with the new system, they will be able to use only one check-in desk. Carry out an investigation to enable you to advise them on whether this is likely to be correct and also on how the average queue length will be affected by this proposed change.

by which criteria?

How many different ways are there to select a group of 4 out of 8 people for a survey?

A survey of 150 freshmen business students at a local university produced the results listed below. How many students took only religion? 35 took history;42 took science;43 took religion;19 took history but not science;14 took science and religion;15 took history and religion;6 took all three

The highest and lowest birth rates in the United States in 2010 were in Utah and Maine, respectively. Utah reported 52,258 births with a population of about 2.8 million people. Maine reported 12,970 births with a population of about 1.3 million people. Use this data to answer the following questions. a) On average, how many people were born each day of the year in Utah? b) On average, how many people were born each day of the year in Maine? c) What was the birth rate in Utah in births per 100,000 residents? d) What was the birth rate in Maine in births per 100,000 residents? 2. In 2010, the highest and lowest death rates in the United States were in West Virginia and Hawaii, respectively. West Virginia reported 17,598 deaths with a population of about 1.9 million. Hawaii reported 8418 deaths with a population of 1.4 million. a) Compute the death rates in West Virginia and Hawaii in deaths per 100,000 residents. b) How many people die each day in West Virginia? c) How many…