Question 1044686: a) On average, 10% of a particular type of seed does not germinate. Assume that the seeds germinate independently of each other. If 12 seeds are planted, find the probability that:
1) Exactly 2 of the 12 seeds do not germinate.
2) At most 2 of the 12 seeds do not germinate.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! 12C2(0.1)^2(0.9)^10, 12C2 is 66. There are 66 ways exactly 2 seeds.
66*(0.1)^2(0.9)^10=0.2301 This makes sense. The expected value is 1.2, so low numbers will be high
for 1, 12*0.1*(0.9)^11=0.3766
for 0 it is 0.9^12=0.2824
Their sum is 0.8891. That is the probability of at most 2.
1 should be the greatest probability because it is closest to the expected value, and it is.
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