SOLUTION: -A bird breeder has a total of 50 canaries, 21 of which are male and 29 of which are female. A pet shop randomly selects 8 of them. 1.find the probability that none of the 8 ar

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Question 1143167: -A bird breeder has a total of 50 canaries, 21 of which are
male and 29 of which are female. A pet shop randomly
selects 8 of them.
1.find the probability that none of the 8 are female.
2.find the probability that exactly 5 of the 8 are male.
3.find the probability that at least 6 of the 8 are female.
4. find the probability that at least 2 of the 8 are male.



Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

1.  It is the same as the probability that all 8 are males.


        P = C%5B21%5D%5E8%2FC%5B50%5D%5E8,  or, which is the same,  


        P = .


    They are not only "different formulas" - they go with different explanations (=self-explanations),

    but they produce identical results.



2.  P = %28C%5B21%5D%5E5%2AC%5B29%5D%5E3%29%2FC%5B50%5D%5E8.


3.  P (at least 6 of the 8 are females) = P(0 males) + P(1 male) + P(2 males) = C%5B29%5D%5E8%2FC%5B50%5D%5E8 + 21%2AC%5B28%5D%5E7%2FC%5B50%5D%5E8 + C%5B21%5D%5E2%2AC%5B27%5D%5E6%2FC%5B50%5D%5E8.


4.  P (at least 2 of the 8 are males)   = complement to P(at most 1 of the 8 is male) = 1 - P(0 males) + P(1 male) = 1 - C%5B29%5D%5E8%2FC%5B50%5D%5E8 - %28C%5B28%5D%5E7%2A21%29%2FC%5B50%5D%5E8.