The distribution of blood types in the United States is as follows, where positive and negative refer to the Rhesus (Rh) factor:

O-positive: 37 %

O-negative: 7 %

A-positive: 35 %

A-negative: 6 %

B-positive: 9 %

B-negative: 2 %

AB-positive: 3 %

AB-negative: 1 %

1.(10 pt) What is the probability (expressed as a percentage) that a person randomly selected from the population

a)will be Rh-positive?

b)will NOT be a universal donor type (type O-negative)?

2.(10 pt)

a)Is blood types A qualitative or quantitative variable?Explain.

b) Help Create frequency table and pie chart showing the percentage of each major blood type, ignoring Rh factor.

3.(15 pt) If you draw blood samples and determine Rh factor using five randomly selected people from this population,

a) What is the random variable?

b) What is the probability that two of the blood samples will be Rh negative?

c) What is the probability that two of the blood samples will be Rh positive?

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? Help Create histogram, and determine the probability that

a)none are Rh negative

b)three are Rh negative

c)more than three are Rh negative

I recently competed in a 5K race that had a mean finish time of = 24.3 minutes and standard deviation = 4.7 minutes.The finish times were normally distributed.

a)What is the variable in this example?Classify this variable as qualitative or quantitative, by type (nominal/ordinal/interval/ratio), and as continuous or discrete.

b)Using the empirical rule, find the range of times in which 95% of the runners finished the race.

Would either of these finish times be considered unusual?Explain.

a)17.9 minutes

b)34.6 minutes

One of the runners had a finish time one standard deviation above the mean.If there were 202 runners in the race, how many had a faster finish time?

If my finish time was 22.9 minutes,

a)Calculate the z-score for my time.

b)What percentage of runners had a faster finish time?

c)If I would like to finish in the top 15%, how much faster would I need to complete the race?