Question 1: (8 points): The distribution of blood type is presented according to

Question

Question 1: (8 points): The distribution of blood type is presented according to Rh status in the following table. Suppose we choose an individual at random. Blood type 0.374 0.357 0.085 0.034 0.85 Rh positive Rh negative Total 0.066 0.063 0.015 0.006 0.15 0.44 0.42 0.10 0.04 AB Total What is the probability that the individual is Rh positive? What is the probability that the individual has blood type O and Rh positive? Note: calculate P(blood type O and Rh positive). Given the individual is Rh positive, what is the probability that the individual has blood type O? Note: calculate P(blood type O Rh positive) Given the individual has blood type O, what is the conditional probability that the individuals Rh positive? Note: calculate P(Rh positive blood type O) a. b. c. d.

Explanation / Answer

a) Prob(Rh positive ) =(0.374+0.357+0.085+0.034)/(total)

                                             =0.85/1

                                             =0.85

b) P(blood type O and Rh positive ) =P(both ) =0.374 (from the table)

                                                           

c) P(blood type O | Rh positive) =P(blood type O and Rh positive ) /P(Rh positive)

                                                            = 0.374 /0.85

                                                            =0.44

d) P(Rh positive | blood type O) =P(blood type O and Rh positive ) /P(blood type O)

                                                            = 0.374 / 0.44

                                                            =0.85

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