Question

4) There are four blood types (A, B, AB, and O) and two Rh factors +or -). Each person has a blood type and an Rh factor. The percentages of blood types and Rh factors have a strong relationship to ethnicityas we can see in the tables below US Pop Euro. Afr. L. AmAsia Ethnicity 0 0.38 0.07 0+ 0.37 0.47 0.53 0.39 Caucasian 0.63 O 0.08 0.04 0.04 Lat. American 0.176 A 0.34 0.06 0.01 B 0.09 0.02 Afr. American 0.133 A+ 0.33 0.24 0.29 0.27 AB0.03 0.01 A- 0.070.020.02 0.005 Asian American 0.056 Figure 2.4: Prevalence of0.09 0.18 0.090.25 in the USB0.02 0.0.01 Figure 2.6: US population by 0.00ethnicity AB+ 0.03 0.04 0.02 0.07 AB- | 0.01 | 0.003 | 0.002 | 0.001 Figure 2.5: Prevalence of blood types by eth- nici (a) What is the probability an American has blood type A? Rh factor positive? O+ blood? (b) What is the probability an American is Caucasian and type 0+? (c) What is the probability type O+ blood belongs to a Caucasian in the US? (d) How does P(Ethnicity Blood Type) relate to P(Blood Type Ethnicity)?

Answer 1

(ethnieity ) lhot isthe prob that on Americo n hos blood ty po Rh facter pasitive 2 O+ blood ? n Ameriran is Cau Saye (n) 0.37 p(American is Caucasian hst is the prabability type 0+ blood belooge to a Caucasian andl type 0+ bloool belonae to a Cauasin 4 e 0-63 0:5873 dHeo dees (Gthaisity Blate) relste ta f(Bled tyrel thnicity) od ty pe city , Bloed A r(Blood type ㈢ P (ethnicity rBloodtype) -f(Bind type)

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