In: Statistics and Probability
Questions 1 - 4 will refer to the following information.
Recent estimates of the distribution of blood types in the U.S. is as follows, where positive and negative refer to the Rhesus (Rh) factor:
O-positive: 38 %
O-negative: 7 %
A-positive: 33 %
A-negative: 6 %
B-positive: 10 %
B-negative: 2 %
AB-positive: 3 %
AB-negative: 1 %
1. What is the probability (expressed as a percentage) that a person randomly selected from the population
a) will be Rh-positive? 84 percent probability
b) will NOT be a universal donor type (type O-negative)? 93 percent probability
2. Is blood type qualitative or quantitative variable? Explain. The blood type is a qualitative variable because the data is going to be a word describing the type of blood.
3. If you draw blood samples from five randomly selected people from this population and determine how many have a given Rh factor,
a) What is the random variable? how many people have a given Rh factor.
b) What is the probability that two of the blood samples will be Rh negative? 0.1835 or 18%.
c) What is the probability that two of the blood samples will be Rh positive? 0.0289 or 2%.
4. (20 pt) If you randomly select 20 people from the population and measure Rh factor, what is the probability of each of the possible outcomes?
a) none are Rh negative: 0.0306 or 3%.
b) three are Rh negative:0.241 or 24%.
c) more than three are Rh negative: 0.401 or 40%.