The American Red Cross says that about 45% of the U.S. population has Type O blo
ID: 3179940 • Letter: T
Question
The American Red Cross says that about 45% of the U.S. population has Type O blood, 40% Type A, 11% Type B, and the rest Type AB. a. Someone volunteers to give blood. What is the probability that this donor has Type AB blood? b. Verify that this is a legitimate probability function. c. Someone volunteers to give blood. What is the probability that this donor has Type A or Type B blood? d. Someone volunteers to give blood. What is the probability that this donor does not have Type O blood? e. Among four potential donors, what is the probability that all are Type O? f. Among four potential donors, what is the probability that none have Type AB blood? g. Among four potential donors, what is the probability that not everyone has Type A blood? h. Among four potential donors, what is the probability that at least one person has Type B blood?Explanation / Answer
a) probability ofg type AB =1-0.45-0.4-0.11=0.04
b)as sum of probability =1 and each probabilty is b/w 0 and 1 it is valid
c)probabilty =0.4+0.11=0.51
d)probabilty =1-0.45=0.55
e)probabily that all 4 are O =(0.45)4 =0.41
f)probabilty tht none have AB=(1-0.04)4 =0.8493
g)probabilty that at least one dies not have type A =1-P(all have type A ) =1-(0.4)4 =0.9744
h)probabilty =1-P(none have type B)=1-(0.89)4 =0.3726
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