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Suppose that in the OSU student population, 20% of blood donors have type A blood, 20%...

Suppose that in the OSU student population, 20% of blood donors have type A blood, 20% have type B, 50% have type O, and 10% have type AB. Frequencies are summarized in the following table.

Blood Type Frequency
A 20%
B 20%
O 50%
AB 10%

(a) In a random sample of 5 students donors, what is the probability of obtaining at most 2 blood donors that have type B blood? Why is this a binomial distribution?

(b) In a random sample of 5 student donors, what is the probability of obtaining exactly 2 type O, 2 type B, 1 type A and no type AB blood? Why is this a multinomial distribution?

(c) What is the probability that we have to randomly sample more than 5 student donors in order to obtain the first type AB blood? Why is this a geometric distribution?

*please include equations

Math   Statistics-And-Probability   
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