Seeds

The germination of seeds of a certain species of carrot is 96%. What is the probability that at least 25 seeds out of 30 will germinate?

Correct result:

p =  0.9989

Solution:

C25(30)=(3025)=30!25!(3025)!=302928272654321=142506 C26(30)=(3026)=30!26!(3026)!=302928274321=27405 C27(30)=(3027)=30!27!(3027)!=302928321=4060 C28(30)=(3028)=30!28!(3028)!=302921=435 C29(30)=(3029)=30!29!(3029)!=301=30 C30(30)=(3030)=30!30!(3030)!=11=1 k=96%=96100=0.96 q=1k=10.96=125=0.04 n=30  p25=(n25) k25 q5=142506 0.9625 0.0450.0053 p26=(n26) k26 q4=27405 0.9626 0.0440.0243 p27=(n27) k27 q3=4060 0.9627 0.0430.0863 p28=(n28) k28 q2=435 0.9628 0.0420.2219 p29=(n29) k29 q1=30 0.9629 0.0410.3673 p30=(n30) k30 q0=1 0.9630 0.0400.2939  p=p25+p26+p27+p28+p29+p30=0.0053+0.0243+0.0863+0.2219+0.3673+0.2939=0.9989



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