Manufacturer 80810

The manufacturer indicates that the germination rate of the pepper seeds is 68%. What is the probability that
a) out of ten seeds sown, at least 8 will germinate?
b) will at most 3 sprouts out of ten seeds be sown?

Correct answer:

a =  0.3313
b =  0.0155

Step-by-step explanation:

k=68%=10068=2517=0.68 n=10  p8=(8n)k8(1k)n8=(810)0.688(10.68)108=450.6880.3220.2107 p9=(9n)k9(1k)n9=(910)0.689(10.68)109=100.6890.3210.0995 p10=(10n)k10(1k)n10=(1010)0.6810(10.68)1010=10.68100.3200.0211  a=p8+p9+p10=0.2107+0.0995+0.0211=0.3313
p0=(0n)k0(1k)n0=(010)0.680(10.68)100=10.6800.32101.1259105 p1=(1n)k1(1k)n1=(110)0.681(10.68)101=100.6810.3290.0002 p2=(2n)k2(1k)n2=(210)0.682(10.68)102=450.6820.3280.0023 p3=(3n)k3(1k)n3=(310)0.683(10.68)103=1200.6830.3270.013  b=p0+p1+p2+p3=1.1259105+0.0002+0.0023+0.013=0.0155



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