Statistics - VillagomezName: Chapter 4 ProbabilityPeriod: Assignment:STATS#4.1-4.2 Show all Work!! 1.Blood types vary All human blood can be typed as one of O, A, B, or AB, but the distribution of the types varies with race. Here is the distribution of blood types of black Americans. Suppose we choose one black American at random. Blood typeOABAB Probability0.490.270.20? a.What is the probability that the chosen person has type AB blood? Show work? P(AB) = b.Find the probability that the chosen person does not have type AB blood. Show work. P(not AB) = Rolanda has type B blood. She can safely receive blood transfusions from people with blood types O and B. c.Find the probability that a randomly chosen black American can donate blood to Rolanda. Show work. P(Donate O or B) = d.Find the probability that a randomly chosen black American cannot donate blood to Rolanda. Show work P(not donate O or B) = e.If you choose one black American at random, find the probability of: P(type A) = f.Is being Type O and Type AB mutually exclusive?Explain. 2.Who's paying? Ari, Betty, Charlie, Daniela, and Ethel go to the bagel shop for lunch every Thursday. Each time, they randomly pick 2 of the group to pay for lunch by drawing names from a hat. a)Give a probability model for this chance process. b)Find the probability that Charlie or Daniela (or both) ends up paying for lunch.
3.What day were you born? The frequency table summarizes the distribution of day of the week for all babies born in a single week in the United States DayBirths Sunday7374 Monday11704 Tuesday13169 Wednesday13038 Thursday13013 Friday12664 Saturday8459 a)Make a relative frequency bar chart of the distribution. b) Make a pie chart of the distribution.