Suppose each blood donor arriving at a clinic has Type O blood with probability p = 0.5, independently of all other donors, and that 10 Type O donors are needed.  a) What is the probability that exactly 3 non-Type O donors will arrive prior to the requisite 10 Type O donors, rounded to two decimal places? b) What is the expected value of the number of non-Type O donors that will need to be screened  before the requisite 10 Type O donors have arrived?

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Chapter1: Combinatorial Analysis
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Suppose each blood donor arriving at a clinic has Type O blood with probability p = 0.5, independently of all other donors, and that 10 Type O donors are needed. 

a) What is the probability that exactly 3 non-Type O donors will arrive prior to the requisite 10 Type O donors, rounded to two decimal places?

b) What is the expected value of the number of non-Type O donors that will need to be screened  before the requisite 10 Type O donors have arrived?

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