#1 Use the data for the points scored by the winning teams in the first 51 Super Bowls to answer parts a, b, c and d.

35, 33, 16, 23, 16, 24, 14, 24, 16, 21, 32, 27, 35, 31, 27, 26, 27,

38, 38, 46, 39, 42, 20, 55, 20, 37, 52, 30, 49, 27, 35, 31, 34, 23,

34, 20, 48, 32, 24, 21, 29, 17, 27, 31, 31, 21, 34, 43, 28, 24, 34

A) Show your work to find the first, second and third quartiles for the data set.

B) Show your work to determine if there are any outliers in this data set.

C) Find the mean and standard deviation for the given sample data. Please do not do this by hand.

D) Find the z-scores for the First Quartile value AND for the greatest value in the data set. Show your work.

E) Explain whether or not the z-scores found in part D are unusual. Explain your reasoning.

#2) A new cell phone is available in five colors: white (W), black (B), gold (G), silver (S), and red (R), and three sizes: 32GB, 128GB and 256GB. A probability experiment consists of randomly selecting a color and a size.

A) Draw a tree diagram to show the possible outcomes of the experiment. B) List the sample space for this experiment AND state the total number of outcomes in the sample space. C) Explain how the fundamental counting principle can also be used to find the total number of outcomes in the sample space. D) Show your work to find the probability of selecting a silver, 32GB phone using the formula for classical probability, then state whether this is considered unusual.

#3) The probability that a person in the United States has typeA positive blood is 31%. Three unrelated people in the United states are selected at random. Find the following probabilities. Round your answers to the thousandths place.

A) Find the probability that all three have type A positive blood. B) Find the probability that none of the three have A positive blood. C) Find the probability that at least one of the three have A positive blood. D) Which of the events above can be considered unusual? Explain your reasoning.