In the united states the probability distribution for blood types is described b
ID: 3176185 • Letter: I
Question
In the united states the probability distribution for blood types is described by the following table.
A) Find the probability that the first blood donor to donate type AB blood is the 5th donor. B) What is the expected number of donors it would take to find the first AB blood donor? C) Find the probability that of 8 donors 3 are type O blood, 2 are type B blood, and 1 is type AB blood. D) Part A is what type of distribution? E) Part C is what type of distribution?
Blood Type Probability O 0.42 A 0.43 B 0.11 AB 0.04Explanation / Answer
a) probability that the first blood donor to donate type AB blood is the 5th donor=first 4 not AB blood donor* 5th one is
=(1-0.04)4*0.04 =0.033974
B)expected number of donors it would take to find the first AB blood donor=1/p=1/0.04=25
c)probability that of 8 donors 3 are type O blood, 2 are type B blood, and 1 is type AB blood.
=(8!/(3!*2!*1!*2!)) *(0.42)3(0.11)2*(0.04)1*(0.43)2 =0.0114
D) geometric distributuion
E) multinomial